Square Roots

Convert the equation $\sqrt{n}-7n+45\sqrt{n}+35=0$ into quadratic form.

Convert the equation $\sqrt{n}-7n+45=0$ into quadratic form.

Convert the equation $n-7\sqrt{n}+28=0$ into quadratic form.

Find the square root of the following.

$\sqrt{-81}$

Find the square root of the following.

$\sqrt{-25}$

Find the square root of the following.

$\sqrt{-16}$

Find the square root of the following.

$\sqrt{-64}$

Find the square root of the following.

$\sqrt{-36}$

 If $432$ is not a square number, find by which least natural number it must be divided to get a square number or multiplied to get a square number.

 Find when $7$ is divided by a smallest natural number, if the quotient is a square number or if $7$ is multiplied by a smallest natural number, it will become a square number or not.

For the non-square number $108$ find the smallest whole number other than '$0$' with which these should be multiplied or divided to give a square number.

How would we get the square root of $100.$

Use the method of successive subtraction of odd numbers (starting from $1$) to examine $256$ and find if it is a perfect square or not. For the perfect square number that you find, identify the square root.

Use the method of successive subtraction of odd numbers (starting from $1$) to examine $144$ and find if it is a perfect square or not. For the perfect square number that you find, identify the square root.

Find the square root of $5\times 5\times 2\times 2\times 3\times 3$.

$\sqrt{15612+\sqrt{154+\sqrt{225}}}=$?.

Find the value of $\sqrt{248+\sqrt{51+\sqrt{169}}}$.

If $\sqrt{2401}=\sqrt{7^x}$, then find the value of $x$.

The largest number of $5-$ digit which is a perfect square, is

Find the value of $\sqrt{5+\sqrt{11+\sqrt{18+\sqrt{49}}}}$.