Recent questions tagged ch-1

If $x=\sqrt{\large\frac{5+2\sqrt 6}{5-2\sqrt 6}}$,then the value of $x^2(x-10)^2$ is ____

asked Nov 4, 2014 by sreemathi.v

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If $a=2+\sqrt 3$,then the value of $a^3+\large\frac{1}{a^3}$ is _____

asked Nov 4, 2014 by sreemathi.v

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

asked Nov 4, 2014 by sreemathi.v

1 answer

If $x=\large\frac{\sqrt 5+\sqrt 3}{\sqrt 5-\sqrt 3}$ and $y=\large\frac{\sqrt 5-\sqrt 3}{\sqrt 5+\sqrt 3}$ then the value of $x+y+xy$ is _____

asked Nov 4, 2014 by sreemathi.v

1 answer

If $\large\frac{\sqrt 3-1}{\sqrt 3+1}=$$a-b\sqrt 3$ then the value of $a$ and $b$ are __

asked Nov 4, 2014 by sreemathi.v

1 answer

If $x+\sqrt{15}=4$ ,then $x+\large\frac{1}{x}$ is _____

asked Nov 4, 2014 by sreemathi.v

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The value of $\sqrt{5+2\sqrt 6}$ is _______

asked Nov 4, 2014 by sreemathi.v

1 answer

If $\sqrt{14-b\sqrt{3}}=\sqrt 8+\sqrt 6$,then the value of $b$ is _____

asked Nov 4, 2014 by sreemathi.v

1 answer

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

asked Nov 4, 2014 by sreemathi.v

1 answer

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

asked Nov 4, 2014 by sreemathi.v

1 answer

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

asked Nov 4, 2014 by sreemathi.v

1 answer

The value of $a^2+ab+b^2$ if $a=\large\frac{\sqrt 2+1}{\sqrt 2-1}$ and $b=\large\frac{\sqrt 2-1}{\sqrt 2+1}$ is ______

asked Nov 4, 2014 by sreemathi.v

1 answer

If $\sqrt{13-a\sqrt{10}}=\sqrt8+\sqrt 5$,then the value of $'a'$ are __

asked Nov 4, 2014 by sreemathi.v

1 answer

The HCF of the smallest composite number are the smallest prime number is ________

asked Nov 4, 2014 by sreemathi.v

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The sum of the exponents of the prime factors in the prime factorization of $196$ is ____

asked Nov 4, 2014 by sreemathi.v

1 answer

The LCM of two numbers is $1200$.Then the number which is not its HCF is _____

asked Nov 4, 2014 by sreemathi.v

1 answer

If the product of two numbers is 1080 and then HCF is $30$,then its LCM is _____

asked Nov 4, 2014 by sreemathi.v

1 answer

If the LCM of $a$ and $18$ is 36 and HCF of $a$ and $18$ is $2$ then $a$=

asked Nov 4, 2014 by sreemathi.v

2 answers

If HCF(26,169)=13,then LCM(26,169)=____

asked Nov 4, 2014 by sreemathi.v

1 answer

The smallest number that when divided by $35,56$ and $91$ leaves remainders of in each case

asked Nov 4, 2014 by sreemathi.v

1 answer

The LCM and HCF of two numbers are $180$ and $6$ respectively.If one number is $30$,then the other number is _______

asked Nov 4, 2014 by sreemathi.v

1 answer

Given that HCF (306,657)=9 then LCM (306,657) is ______

asked Nov 4, 2014 by sreemathi.v

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$\large\frac{125}{441}$ is a ______ decimal

asked Nov 4, 2014 by sreemathi.v

1 answer

$\large\frac{13}{3125}$ is a ________ decimal

asked Nov 4, 2014 by sreemathi.v

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The HCF of 95 and 152 is

asked Nov 3, 2014 by sreemathi.v

1 answer

Let $x=\large\frac{p}{q}$ be a rational number,such that the prime factorization of $q$ is not of the form $2^m\times 5^n$,where $m$ and $n$ are non-negative integers,then $x$ has a decimal expansion which is

asked Nov 3, 2014 by sreemathi.v

1 answer

Say True or False : The product of any three consecutive natural number is divisible by $6$.

asked Nov 3, 2014 by sreemathi.v

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If $\sqrt p+\sqrt q$ is an irrational number then,_______

asked Nov 3, 2014 by sreemathi.v

1 answer

For any positive real number $x$,there exists an irrational number $y$ such that _______

asked Nov 3, 2014 by sreemathi.v

1 answer

If $\sqrt P$ is an irrational number then $P$ is ______

asked Nov 3, 2014 by sreemathi.v

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If $a$ and $b$ are co-prime numbers,then $a^2$ and $b^2$ are

asked Nov 3, 2014 by sreemathi.v

1 answer

If $P_1$ and $P_2$ are two odd prime numbers such that $P_1 > P_2$,then $P_1^2-P_2^2$ is

asked Nov 3, 2014 by sreemathi.v

1 answer

The sum of two irrational numbers is an irrational number.

asked Nov 3, 2014 by sreemathi.v

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Every integer is of the form $2m$,where $m$ is an integer.Is this a True or False statement.

asked Nov 3, 2014 by sreemathi.v

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If $2^n\times 5^n$ ends in $5$ then the value of $n$ is _____

asked Nov 3, 2014 by sreemathi.v

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If $n$ is a natural number,then $9^{2n}-4^{2n}$ is always divisible by

asked Nov 3, 2014 by sreemathi.v

1 answer

If $3$ is the least prime factor of number $a$ and $7$ is the least prime factor of number $b$,then the least prime factor of $a+b$ is ______

asked Nov 3, 2014 by sreemathi.v

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For any positive integer $'n'$,$n^3-n$ is divisible by _________

asked Nov 3, 2014 by sreemathi.v

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