Question

using the long division method find the the smallest number that must be subtracted from 4500 to get a perfect square number​

Answer 1

Answer:

5 ) 4500 ( 900

4500

0

900 is the number to be subtracted from 4500

4500 - 900 = 3600 which is a perfect square

60 * 60 = 60²

Answer 2

Concept:

We employ the long division technique to determine the square root of large numbers.

A long division approach can be used to find the square roots of irregular squares like 2, 3, 5, 6, and 8 without the aid of a calculator. As we all know, the division method may be used to determine a number's square root, prime factors, lcm, and HCF. You will discover how to use the division method to tackle square root issues in this post.

The square root method of division is a well-known and simple way to get the precise roots of integers. There are 5 main processes in this method: divide, multiply, add, take away, and repeat.

Given:

Number =4500 from which the smallest number is to be subtracted

Find:

The smallest number must be subtracted from the number given to get a perfect square.

Solution:

First, we find the square root of the number:

$\sqrt{4500}$ =67, using the square root formula by pairing the numbers, we get the remainder as 11

Now if we subtract this number from 4500,

45500-11=4489

$\sqrt{4489} =67$ it is the perfect square number.

Hence, the smallest number which must be subtracted will be 11.

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