Question

Is 900 a perfect square? If so, find the number whose square is 900.

Answer 1

Answer:

30

Step-by-step explanation:

Resolving into prime factors, we find that

                 900 = 2 × 2 × 3 × 3 × 5 × 5

Since, 900 can be grouped into pairs of equal factors

Therefore, 900 is a perfect square.

Also,

900 = (2 × 3 × 5) × (2 × 3 × 5)

       = (30 × 30)

       = (30)²

So, 900 is the square of 30.

Answer 2

Answer:

900 is a whole square of 30

Step-by-step explanation:

900 = 2×450

900 = 2× 2 × 225

900 = 2×2 × 3 × 75

900 = 2 × 2 × 3 × 3 × 25

900 = 2 × 2 × 3 × 3 × 5 × 5

900 = 2^2 × 3^2 × 5^2

900 = (2 × 3 × 5 )^2

900 = 30^2

900 is a whole square of 30