Square Roots

IMPORTANT

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

MEDIUM
IMPORTANT

Find the value of 99×44.

EASY
IMPORTANT

Convert the equation n-7n+45n+35=0 into quadratic form.

EASY
IMPORTANT

Convert the equation n-7n+45=0 into quadratic form.

EASY
IMPORTANT

Convert the equation n-7n+28=0 into quadratic form.

MEDIUM
IMPORTANT

Find the square root of the following.

-81

MEDIUM
IMPORTANT

Find the square root of the following.

-25

MEDIUM
IMPORTANT

Find the square root of the following.

-16

MEDIUM
IMPORTANT

Find the square root of the following.

-64

MEDIUM
IMPORTANT

Find the square root of the following.

-36

EASY
IMPORTANT

To make a square garden clean, neat and pollution free, the monthly expenditure per square meter is 2.25 . If the monthly expenditure on the maintenance of the garden is 3600 . Find the length of side of the garden.

EASY
IMPORTANT

Find the smallest possible natural number which when added to 594  makes the sum a perfect square.

EASY
IMPORTANT

Find the least natural number which when subtracted from 16160 leaves the remainder a perfect square.

MEDIUM
IMPORTANT

Find the smallest four digit perfect square number which is exactly divisible by 16, 18 and 45.

MEDIUM
IMPORTANT

Find the least number which when divided by 3675  makes the quotient a perfect square.

MEDIUM
IMPORTANT

Find the positive square root of the following by division:

3915380329 

MEDIUM
IMPORTANT

Find the positive square root of the following by division:

75625 

MEDIUM
IMPORTANT

Find the positive square root of the following by division:

4225 

EASY
IMPORTANT

Simplify by taking the positive square root: 30+900 

MEDIUM
IMPORTANT

If 2 =1.4142  is , then find the value of 8  to the nearest third decimal place.

MEDIUM
IMPORTANT

The area of a square is 0.00037636 m2 . Find the length of the side of the square approximately in cm.