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what is square root of 45 and how to do it?

Guest Aug 25, 2017
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2+0 Answers

 #1
avatar+432 
+1

A square root of something means that the square of the result would become the original number.

No rational number is squared to become 45. Probably the closest is 7, because 7^2=49.

The square root of 45 would be represented as √45. It's not a perfect square.

Of course, you could  plug √45 into a calculator.

But the decimal places would go on forever.

Here's what I got when I put √45 into this website's calculator:

6.7082039324993691

It looks like the decimal places end, but the decimal places go on forever. The calculator rounded it.

These numbers are called irrational numbers.

They can't be expressed as a fraction.

laugh

Gh0sty15  Aug 25, 2017
 #2
avatar+78618 
+1

 

Thanks, Gh0sty!!

 

If we just wanted to simplify  √45,  we  have

 

√45  =  √ [9 * 5 ] = √9 *√5  =   3√5

 

 

cool cool cool

CPhill  Aug 25, 2017

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