Math, asked by pa321, 1 month ago

Find the smallest six digit number which is a perfect square.
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Answers

Answered by Anonymous
1

The least six-digit perfect square is 100489.

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Answered by ItsArmy
0

Answer:

Complete step-by-step answer:

Here, we have to find the least six-digit number which is a perfect square.

So first we will find the least six-digit number or smallest six-digit number.

The smallest six digit number =10000

Now, we will find the square-root of this smallest six-digit number to determine whether the square-root is an integer or not.

⇒ 100000−−−−−−√=10×10×10×10×10−−−−−−−−−−−−−−−−−−√

The numbers which are in pairs are removed from under the square-root as they are perfect squares.

⇒ 10×1010−−√=10010−−√

Now, we will put the value of 10−−√ which is 3.1623

⇒ 100×3.1623=316.23

The square-root we obtained is not an integer as it is in decimal.

So we have to find the nearest integer which is greater than the square-root itself.

So, the nearest integer 316.23 is 317 which is greater than the obtained square-root. Now, to find the perfect square we will multiply 317by itself.

⇒ 317×317=100489

⇒317×317=100489

The least six-digit perfect square is 100489.

Step-by-step explanation:

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