Question

find one case study question in this chapter square and square roots ​

Answer 1

Answer:

4.1 Square of a number.

If a natural number m can be expressed as n2 (where n is a natural number), then m is the square root or perfect square.

i.e. if m = n2 (m, n – natural numbers)

E.g. 81 = 3 × 3 × 3 × 3

= 32 × 32 = (3 × 3)2 = 92

Hence, 9 is the square root of 81.

4.2 Properties of Square Root.

Below is the table that has squares of numbers from 1 to 10.

If we see the above results carefully, we can conclude that numbers ending with 0, 1, 4, 5, 6, or 9 at units place are perfect squares None of these end with 2, 3, 7 or 8, So numbers that end with 2, 3, 7, 8 are not perfect squares.

Thus, numbers like 122, 457, 183, 928 are not perfect squares.