Given, 576 Steps in Long-division method: (i) First we make the pair of the digits starting from the digit's at one's place. For making the pair place a bar over every pair of digits. If the number of digits in it odd, then the left-most single digit will have a bar. (ii) Find the largest number whose square is less than or equal to the number under the extreme left bar. Take this number as the divisor and the number under the extreme left bar as dividend. Divide and get the remainder. (iii) To the right of the remainder place the number that is under the next bar. (iv) Now double the divisor and enter it with blank on its right. (v) Think the largest possible digit to fill the blank which will also become the new digit in the quotient such that when the new divisor is multiplied to the new quotient the product is less than or equal to the dividend. (vi) Repeat these steps till get the remainder zero and no digits are left in the given number. 2 4 2 5 7 6 4 4 4 1 7 6 1 7 6 0 0 0 Hence, the square root of number is 24

Given, 1444 Steps in Long-division method: (i) First we make the pair of the digits starting from the digit's at one's place. For making the pair place a bar over every pair of digits. If the number of digits in it odd, then the left-most single digit will have a bar. (ii) Find the largest number whose square is less than or equal to the number under the extreme left bar. Take this number as the divisor and the number under the extreme left bar as dividend. Divide and get the remainder. (iii) To the right of the remainder place the number that is under the next bar. (iv) Now double the divisor and enter it with blank on its right. (v) Think the largest possible digit to fill the blank which will also become the new digit in the quotient such that when the new divisor is multiplied to the new quotient the product is less than or equal to the dividend. (vi) Repeat these steps till get the remainder zero and no digits are left in the given number. 3 8 3 14 44 9 68 5 44 5 44 0 00 Hence , the square root of number is 38 .

Given, 4489 Steps in Long-division method: (i) First we make the pair of the digits starting from the digit's at one's place. For making the pair place a bar over every pair of digits. If the number of digits in it odd, then the left-most single digit will have a bar. (ii) Find the largest number whose square is less than or equal to the number under the extreme left bar. Take this number as the divisor and the number under the extreme left bar as dividend. Divide and get the remainder. (iii) To the right of the remainder place the number that is under the next bar. (iv) Now double the divisor and enter it with blank on its right. (v) Think the largest possible digit to fill the blank which will also become the new digit in the quotient such that when the new divisor is multiplied to the new quotient the product is less than or equal to the dividend. (vi) Repeat these steps till get the remainder zero and no digits are left in the given number. 6 7 6 44 89 36 12 7 8 89 8 89 0 00 Hence, the square root of number is 67

Given, 6241 Steps in Long-division method: (i) First we make the pair of the digits starting from the digit's at one's place. For making the pair place a bar over every pair of digits. If the number of digits in it odd, then the left-most single digit will have a bar. (ii) Find the largest number whose square is less than or equal to the number under the extreme left bar. Take this number as the divisor and the number under the extreme left bar as dividend. Divide and get the remainder. (iii) To the right of the remainder place the number that is under the next bar. (iv) Now double the divisor and enter it with blank on its right. (v) Think the largest possible digit to fill the blank which will also become the new digit in the quotient such that when the new divisor is multiplied to the new quotient the product is less than or equal to the dividend. (vi) Repeat these steps till get the remainder zero and no digits are left in the given number. 7 9 7 62 41 49 149 13 41 13 41 0 00 Hence, the square root of given number is 79

E M B I B E

Mathematics Class 8>Chapter 3 - Squares and Square Roots>EXERCISE

EASY

8th CBSE

IMPORTANT

Earn 100

Find the smallest number by which $2925$ must be divided to obtain a perfect square.

Also, find the square root of the perfect square so obtained.

Important Questions on Squares and Square Roots

EASY

8th CBSE

IMPORTANT

Mathematics Class 8>Chapter 3 - Squares and Square Roots>EXERCISE

$1225$ plants are to be planted in a garden in such a way that each row contains as many plants as the number of rows.

Find the number of rows and the number of plants in each row.

EASY

8th CBSE

IMPORTANT

Mathematics Class 8>Chapter 3 - Squares and Square Roots>EXERCISE

The students of a class arranged a picnic. Each student contributed as many rupees as the number of students in the class. If the total contribution is $₹ 1156$ , find the strength of the class.

EASY

8th CBSE

IMPORTANT

Mathematics Class 8>Chapter 3 - Squares and Square Roots>EXERCISE

Find the least square number which is exactly divisible by each of the numbers $6, 9, 15$ and $20 .$

MEDIUM

8th CBSE

IMPORTANT

Mathematics Class 8>Chapter 3 - Squares and Square Roots>EXERCISE

Find the least square number which is exactly divisible by each of the numbers $8, 12, 15$ and $20$ .

EASY

8th CBSE