NCERT Solutions for Class 8 Maths Chapter 6 Squares and Square Roots Exercise 6.3

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NCERT Solutions for Class 8 Maths Chapter 6 Squares and Square Roots Exercise 6.3 is covered in this article. This exercise mainly consists of problems to find square roots by repeated subtraction method, and Prime Factorization method.

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Read More: NCERT Solutions For Class 8 Mathematics Chapter 6 Squares and Square Roots 

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Examples From Chapter 6 Squares and Square Roots

Ex. 1 Find the least number which when subtracted from 402 gives a perfect square. Find the square root of the number so obtained.

Soln: This shows that 202 is less than 402 by 2. Therefore, when we subtract the remainder from the number, it is a perfect square. So, the least required number is 2.

Therefore, 

the required perfect square is (402 – 2) = 400.

the required perfect square is (402 – 2) = 400.

Hence, 

√400=20

Ex.2 By what number should 14700 be divided to obtain a perfect square? Find the square root of the perfect square thus obtained.

Soln: 14700 =( 5× 5 × 2 × 2 × 7 × 7 × 3)

= (5× 5) × (2 × 2) × (7 × 7) × 3

The factor 3 does not have a pair.

∴ The given number is to be divided by 3.

14700 ÷ 3 = 4900

√4900 = 70

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