SOLUTION: How do you SIMPLIFY and SOLVE the following: ***I don't have the symbol for SQUARE ROOT on my phone so I'm going to have to write out a lot of the equation. I apologize if this ma

Algebra ->  Square-cubic-other-roots -> SOLUTION: How do you SIMPLIFY and SOLVE the following: ***I don't have the symbol for SQUARE ROOT on my phone so I'm going to have to write out a lot of the equation. I apologize if this ma      Log On


   

Question 974760: How do you SIMPLIFY and SOLVE the following: ***I don't have the symbol for SQUARE ROOT on my phone so I'm going to have to write out a lot of the equation. I apologize if this makes it difficult. I need to know how to SIMPLIFY and SOLVE "What is the SQUARE ROOT of 16x to the 2nd power?"
Thank you very much.
Found 2 solutions by harpazo, jim_thompson5910:
Answer by harpazo(655) About Me  (Show Source):
You can put this solution on YOUR website!
Let sqrt be "square root" for short.

We want to simplify sqrt{16x^2}.

Notice that the radicand is 16x^2, which is

a perfect square.

Ask yourself: What number times itself

is 16? You know that 4 times 4 is 16.

This means 4 is part of the answer.

Ask yourself: What term when multiplied

by itself will produce x^2?

How about x? Yes, x times x is x^2.

In conclusion,sqrt{16x^2} is 4x.

Understand?

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Note: type "sqrt(x)" to mean sqrt%28x%29


sqrt%2816x%5E2%29

sqrt%28%284x%29%5E2%29

abs%284x%29 where x is any real number

4x where x+%3E=+0

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sqrt%2816x%5E2%29 simplifies to abs%284x%29 if x is any real number.

sqrt%2816x%5E2%29 simplifies to 4x if x%3E=0

Notice how the answer varies slightly depending on if there is a restriction on x or not.

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