Square Roots
Square Roots: Overview
This topic covers concepts, such as, Square Root of a Number, Square Root as Inverse Operation of Square, Relation between Numbers of Digits in a Number and its Square & Estimation of Number of Digits in Square Root of a Square Number etc.
Important Questions on Square Roots

Convert the equation into quadratic form.

Convert the equation into quadratic form.

Convert the equation into quadratic form.

Find the square root of the following.

Find the square root of the following.

Find the square root of the following.

Find the square root of the following.

Find the square root of the following.

To make a square garden clean, neat and pollution free, the monthly expenditure per square meter is . If the monthly expenditure on the maintenance of the garden is . Find the length of side of the garden.

Find the smallest possible natural number which when added to makes the sum a perfect square.

Find the least natural number which when subtracted from leaves the remainder a perfect square.

Find the smallest four digit perfect square number which is exactly divisible by and .

Find the least number which when divided by makes the quotient a perfect square.

Find the positive square root of the following by division:

Find the positive square root of the following by division:

Find the positive square root of the following by division:

Simplify by taking the positive square root:

If is , then find the value of to the nearest third decimal place.

The area of a square is . Find the length of the side of the square approximately in .
