Question

Find the least number of six digits which is a perfect square find the perfect square also find the square root of so number obtained

#STAY HOME STAY SAFE​

thanks

Answer 1

$\Large{\underline{\underline{\bf{Solution :}}}}$

★ To Find :

We have to find the least number of six digits which is perfect square and we have to also find the square root of the number obtained.

__________________________

★ Solution :

For doing this question firstly we will find the smallest six digit number. And then its root.

Smallest six digit number = 1,00,000

Square root of smallest six digit number = $\sf{\sqrt{100000}}$ = 316.22

$\rule{150}{2}$

Now,

Firstly, We will find square of the number which is nearest to 316.22 which are 316 and 317.

→ (316)²

→ 99856

But it is a five digit number.

$\rule{150}{2}$

Now,

→ (317)²

→ 1,00,489

$\large{\implies{\boxed{\boxed{\sf{1,00,489}}}}}$

$\therefore$ 1,00,489 is the smallest six digit number which is a perfect square.

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