# NCERT Class 8 Mathematics Solutions: Chapter 6 – Squares and Square Roots Exercise 6.4 Part 6 (For CBSE, ICSE, IAS, NET, NRA 2022)

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**Question: 5** Find the least number which must be added to each of the following numbers so as to get a perfect square. Also, find the square root of the perfect square so obtained:

(i) 525

(ii) 1750

(iii) 252

(iv) 1825

(v) 6412

**Answer**:

**(i)** 525

Since remainder is 41.

Next perfect square number

Hence, number to be added

Hence, the square root of 529 is 23.

**(ii)** 1750

Since remainder is 69.

Next perfect square number

Hence, number to be added

Hence, the square root of 1764 is 42.

**(iii)** 252

Since remainder is 27.

Next perfect square number

Hence, number to be added

Hence, the square root of 256 is 16.

**(iv)** 1825

Since remainder is 61.

Next perfect square number

Hence, number to be added

Hence, the square root of 1849 is 43.

**(v)** 6421

Since remainder is 12.

Next perfect square number

Hence, number to be added

Hence, the square root of 6561 is 81.