Recent questions tagged realnumber

The value of $4 \sqrt {12} + 5 \sqrt {27} - 3 \sqrt {75}+300$ is ________

asked Feb 2, 2015 by meena.p

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The simplified form of $3 \sqrt {2}+4 \sqrt {64} + \sqrt[4]{2500}+\sqrt [6] {8}$ is ___________

asked Feb 2, 2015 by meena.p

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The simplified form of $\sqrt {294} -\sqrt {150} + 2 \sqrt 6 -3 \sqrt {\large\frac{1}{6}}$ is ________

asked Feb 2, 2015 by meena.p

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The simplified value of $4 \sqrt {12} - \sqrt {50} - 7 \sqrt {48}$ is ________

asked Feb 2, 2015 by meena.p

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Arrange in decreasing order of magnitude $\sqrt[4]{10},\sqrt [6]{6},\sqrt[8] {90}$

asked Feb 2, 2015 by meena.p

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Arrange in decreasing order of magnitude $\sqrt[3]{4},\sqrt [4]{6},\sqrt[8] {90}$

asked Feb 2, 2015 by meena.p

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If $ a = \large\frac{2 - \sqrt 5}{2+\sqrt 5},$$b = \large\frac{2+\sqrt 5}{2- \sqrt 5}$ then $a^2 -b^2 =$

asked Feb 2, 2015 by meena.p

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The simplest rationalizing factor of $ \sqrt [3] {500}$ is

asked Feb 2, 2015 by meena.p

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If $ \large\frac{\sqrt 3 -1}{\sqrt 3 +1}$$=a - b \sqrt 3$, then

asked Feb 2, 2015 by meena.p

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If $ x= 7+4 \sqrt 3 $, and $xy =1$ then $ \large\frac{1}{x^2}+\frac{1}{y^2}$=______

asked Feb 2, 2015 by meena.p

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If $x= \sqrt [3] {2+\sqrt 3}$, then $x^3 +\large\frac{1}{x^3}$=_____

asked Feb 2, 2015 by meena.p

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If $ x = \large\frac{2}{3 +\sqrt{7}}$, then $(x-3)^2$=________

asked Feb 2, 2015 by meena.p

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The ratiocination factor of $\sqrt 3$ is

asked Feb 2, 2015 by meena.p

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$\large\frac{1}{3- \sqrt 8 } -\frac{1}{\sqrt 8 - \sqrt 7 }-\frac{1}{\sqrt 6 - \sqrt 5}+\frac{1}{\sqrt 5 -2}$=_________

asked Feb 2, 2015 by meena.p

1 answer

If $x =3-2 \sqrt 2 $ then $x^2+\large\frac{1}{x^2}$

asked Feb 2, 2015 by meena.p

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If $x= \large\frac{\sqrt 2 +1}{\sqrt 2 -1}$$y= \large\frac{\sqrt 2 -1}{\sqrt 2 +1}$ then $x^2+xy+y^2 $ is _______

asked Feb 2, 2015 by meena.p

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The value of $\large\frac{1}{1+\sqrt 2 }+\frac{1}{\sqrt 2 +\sqrt 3 }+ \frac{1}{\sqrt 3 + \sqrt 4 }.....\large\frac{1}{\sqrt{8}+\sqrt 9}$=

asked Feb 2, 2015 by meena.p

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$\sqrt {\sqrt {729} \div \sqrt {27}}$ is _________

asked Feb 2, 2015 by meena.p

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$\sqrt[3]{2} \times \sqrt [5] {3} \times \sqrt [15]{32}$ is ________

asked Feb 2, 2015 by meena.p

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The value of $2 \sqrt[3]{40} + 3 \sqrt [3] {625} -4 \sqrt [3]{320}$ is

asked Feb 2, 2015 by meena.p

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If $ \sqrt {5^n} =125$ , then $5 \sqrt [n]{64}$=

asked Feb 2, 2015 by meena.p

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If $\large\frac{2^{m+n}}{2^{n-m}}$$=16$ and $a =2^{\large\frac{1}{10}}$, then $\large\frac{a^{2m+n-p}}{(a^{m-2n+2p})^{-1}}$=

asked Feb 2, 2015 by meena.p

1 answer

If $g=t^{\large\frac{2}{3}}+4t^{\large\frac{-1}{2}}$, the value of g when $t=64$ is ______

asked Feb 2, 2015 by meena.p

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$(x^{-1}+y^{-1})^{-1}$ is

asked Feb 2, 2015 by meena.p

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The value of $x-y^{x-y}$ when $x=2$ and $y=-2$

asked Jan 30, 2015 by meena.p

1 answer

If $4^x-4^{x-1} =24$, then $(2x)^x$ is ______

asked Jan 30, 2015 by meena.p

1 answer

For any positive real number x, the value of $ \{ (x^a)^b \} ^{\large\frac{1}{ab} } \{ (x^b)^c \} ^{\large\frac{1}{bc}}\{(x^c)^a\}^{\large\frac{1}{ac}}$ is

asked Jan 30, 2015 by meena.p

1 answer

The value of $ \large\frac{(0.6)^0-(0.1)^{-1})^{-1}}{(3/8)^{-1}(3/2)^3+(1/3)^{-1}}$

asked Jan 30, 2015 by meena.p

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The value of $\large\frac{2^n +2^{n-1}}{2^{n+1}-2^n}$=

asked Jan 30, 2015 by meena.p

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The value of x if $2^{x-7} \times 5^{x-4} =1250$ is _______

asked Jan 30, 2015 by meena.p

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$\bigg( \large\frac{x^{-4} }{y^{-10}}\bigg)^{\large\frac{5}{4}}$=_____

asked Jan 30, 2015 by meena.p

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If $27^x =\large\frac{9}{3^x}$, the value of x is ________

asked Jan 30, 2015 by meena.p

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The value of x if $5^{x-3} .3^{2x-8}=225$

asked Jan 30, 2015 by meena.p

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The value of $\Large\frac{(x^{a+b})^2(x^{b+c})^2(x^{c+a})^2}{(x^ax^bx^c)^4}$=

asked Jan 30, 2015 by meena.p

1 answer

$\sqrt[3] {xy^2} \div x^2 y $ =_______

asked Jan 30, 2015 by meena.p

1 answer

$\large\sqrt[4]{\sqrt[3] {x^2}}$=

asked Jan 30, 2015 by meena.p

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$(\sqrt 4)^{-7} (\sqrt 2 )^{-5}$ is

asked Jan 30, 2015 by meena.p

0 answers

The value of $(25)^{\large\frac{-1}{3} } \times 3 \sqrt {16}$ is _______

asked Jan 30, 2015 by meena.p

1 answer

The value of $2^{55} \times 2^{60} -2^{97} \times 2^{18}$is ________

asked Jan 30, 2015 by meena.p

2 answers

If $a=2$ and $b=3$ , then the value of $\bigg( \large\frac{1}{a} +\frac{1}{b}\bigg)^a $=_____

asked Jan 30, 2015 by meena.p

1 answer

Which of the following is irrational ?

asked Jan 30, 2015 by meena.p

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Which of the following is irrational ?

asked Jan 29, 2015 by meena.p

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The number $1. \bar {27}$ in the form $\large\frac{p}{q}$, where P and q are integer and $q \neq 0$ , is

asked Jan 29, 2015 by meena.p

1 answer

The smallest rational number by which $\large\frac{1}{3}$ should be multiplied so that its decimal expansion terminates after one place of decimal is

asked Jan 29, 2015 by meena.p

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$23.\bar{45}$ when expressed in the form $\large\frac{p}{q}$ is ___________

asked Jan 29, 2015 by meena.p

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The value of $0.\overline{24} +0.\overline{21}$ is _________

asked Jan 29, 2015 by meena.p

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If $x=1 - \sqrt 2$, then the value of $\bigg(x- \large\frac{1}{x}\bigg)^3$ is

asked Jan 29, 2015 by meena.p

1 answer

If $x = \large\frac{1}{2 - \sqrt 3 }$, then the value of $x^3-2x^2-7x+5$ is

asked Jan 29, 2015 by meena.p

1 answer

If $x= 2 +\sqrt 3 $, then $x^2+\large\frac{1}{x^2}$ is ______

asked Jan 29, 2015 by meena.p

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