Question

$$625$$ is a perfect square number.

If above statement is true, type $$1$$ otherwise $$0$$.

Answer 1

Correct option is A. 1
We are going to find prime factors of $$625$$.

$$625=5\times 125$$

$$=5\times 5\times 25$$

$$=5\times 5\times 5\times 5$$

By grouping the prime factors in equal pairs we get,

$$=(5\times 5)(5\times 5)$$

By observation, none of the prime factors are left out.

$$625=5^2\times 5^2$$

$$\Rightarrow$$ $$\sqrt{625}=\sqrt{5^2\times 5^2}$$

$$\Rightarrow$$ $$\sqrt{625}=5\times 5$$

$$\Rightarrow$$ $$\sqrt{625}=25$$

$$\therefore$$ $$625$$ is a perfect square.