Find the least number that must be added to 1500 so as to get a perfect square. Also find the square root of the perfect square.

Solution:

Given, the number is 1500.

We have to find the least number that must be added to the given number to get a perfect square.

Using long division,

This implies that 1500 lies between 38² and 39².

So, 38² < 1500 < 39²

We know, 39² = 1521

Least number to be added = 1521 - 1500

= 21

Therefore, the perfect square is 1521.

We have to find the square root of the perfect square.

So, √1521 = 39

Therefore, the required value is 39.

✦ Try This: Find the least number that must be added to 1200 so as to get a perfect square. Also find the square root of the perfect square.

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 3 Sample Problem 32

Find the least number that must be added to 1500 so as to get a perfect square. Also find the square root of the perfect square

Summary:

The least number that must be added to 1500 so as to get a perfect square is 21. The square root of the perfect square is 39

☛ Related Questions:

• Find the smallest number by which 1620 must be divided to get a perfect square
• 196 is the square of, a. 11, b. 12, c. 14, d. 16
• Which of the following is a square of an even number? a. 144, b. 169, c. 441, d. 625