Math, asked by vineetgurg99659, 1 year ago

59413264 find the square root​

Answers

Answered by shubhangithakare47
1

Step-by-step explanation:

The answer of this question is 7708.

Hope it will help u.

Answered by spacelover123
7

First we will prime factorize

\begin{array}{r | l}2  & 59413264 \\ \cline{2-2}  2&  29706632\\ \cline{2-2} 2&14853316 \\ \cline{2-2} 2&7426658 \\\cline{2-2} 41& 3713329\\\cline{2-2} 41& 90569\\\cline{2-2}47 & 2209\\\cline{2-2} &47 \\ \end{array}

So the product of the primes is ⇒ 2\times2\times2\times2\times41\times41\times47\times47

Now we need to pair the primes ⇒ (2\times2)\times(2\times2)\times(41\times41)\times(47\times47)

To find the square root we need to take one number form each pair and multiply.

\sqrt{59413264} =2\times2\times41\times47

\sqrt{59413264} =7708

\sqrt{59413264} =7708

Additional Information :)

What is a square number?

The result of multiplying an integer by itself is known as a square number.

How to pronounce a squared number?

For example ⇒ 7^2

We pronounce it as ⇒ "7 square" or "7 raised to the power 2"

What is the result if a negative number is squared?

The result will be positive if a negative number is squared.

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