Recent questions tagged ch-1

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

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

1 answer

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

1 answer

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

1 answer

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

1 answer

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

1 answer

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

asked Jan 30, 2015 by meena.p

1 answer

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

asked Jan 30, 2015 by meena.p

1 answer

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

asked Jan 30, 2015 by meena.p

1 answer

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

asked Jan 30, 2015 by meena.p

1 answer

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

asked Jan 30, 2015 by meena.p

1 answer

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

1 answer

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

1 answer

Which of the following is irrational ?

asked Jan 29, 2015 by meena.p

0 answers

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

1 answer

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

asked Jan 29, 2015 by meena.p

1 answer

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

1 answer

The value of $ \sqrt [3] 4 \times \sqrt [3]16 $ is ________

asked Jan 29, 2015 by meena.p

1 answer

Which rational number is its own additive inverse ?

asked Jan 16, 2015 by meena.p

1 answer

Express $\large\frac{(-42)}{98} $ as a rational number with denominator 7

asked Jan 16, 2015 by meena.p

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A basket contains three types of fruits weighting $\large\frac{58}{3}$$kg$ in all. If $\large\frac{73}{9}$$kg$ of these be apples , $\large\frac{19}{6} $$\;kg$ be oranges and the rest pears. What is the weight of the pears in the basket ?

asked Jan 16, 2015 by meena.p

1 answer

Find the area of rectangular park which is $\large\frac{183}{5}$$m$ long and $ \large\frac{50}{3}$$m$ broad.

asked Jan 16, 2015 by meena.p

1 answer

A car is moving at an average speed of $\large\frac{202}{5}$$\;km/hr$ . How much distance will it cover in $ \large\frac{15}{2}$hours

asked Jan 16, 2015 by meena.p

1 answer

Write down the rational number whose numerator is the smallest four digit number and denominator is the largest five digit number .

asked Jan 15, 2015 by meena.p

1 answer

State True or False : O is a whole number but it is not a rational number .

asked Jan 15, 2015 by meena.p

1 answer

Write down the rational number whose numerator is $(-3) \times 4$ and whose denominator is $ (34-23) \times (7-4)$

asked Jan 15, 2015 by meena.p

1 answer

What should be subtracted from $\bigg( \large\frac{3}{4} -\frac{2}{3} \bigg) $ to get $ \large\frac{-1}{6}$?

asked Jan 15, 2015 by meena.p

1 answer

What should be added to $ \bigg( \large\frac{2}{3} +\frac{3}{5}\bigg) $ to get $\large\frac{-2}{15}$?

asked Jan 15, 2015 by meena.p

1 answer

Multiply $\large\frac{-6}{11}$ by $ \large\frac{-55}{36}$

asked Jan 15, 2015 by meena.p

1 answer

Can we divide 1 by 0.

asked Jan 15, 2015 by meena.p

1 answer

Are rational numbers always closed under division ?

asked Jan 15, 2015 by meena.p

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