Question

What is the square root of 7396 by long DIVISION method

Answer 1

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Answer 2

The square root of 7396 by long division method is 86.

Steps:

• Group 7396 into pairs starting from units place.
• We have two pairs 73 and 96.
• Take a square which is equal to or just less than 73.
• We take 8 here as $8^{2}$ = 64 which less than 73.
• Take 8 in divisor as well as quotient's place.
• Now, subtract 64 from 73, we are left with 9.
• Take down other pair with 9 to make it 996 which is our new dividend.
• Add 8 in divisors place, we get 16.
• Now, take digit in quotient and units place of divisor(16) such that the product of two is less than or equal to dividend(996).
• In this case, 166 x 6 = 996. Write this below dividend and we are left with 0 after subtraction.
• Therefore, Quotient i,e, 86 is the square root of 7396.