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Question 165033: simplify the following radical expressions the square root of x times the square root of x
Found 3 solutions by Mathtut, ankor@dixie-net.com, Electrified_Levi:
Answer by Mathtut(3670)   (Show Source):
Answer by ankor@dixie-net.com(22740)  (Show Source):
Answer by Electrified_Levi(103) (Show Source):
You can put this solution on YOUR website! Hi, Hope I can help,
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simplify the following radical expressions the square root of x times the square root of x
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Here is the problem you are trying to solve
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We first have to know what square roots are
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To find the square root of something, we are trying to find a number you can square (multiply twice) to get the number,  , you are trying to find "x", this case it would be  , ( or  , if you are using negative square roots)
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Examples: find  , the answer would be  , since you can multiply 5 twice ( or square "5" ) to get 25,  , or 
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find  , the answer would be  , you can multiply "9" twice to get "81", you can also square "9" to get "81",  , or 
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If you multiply a square root of a number by itself( or square it), it will always equal the number in the square root sign.
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Examples:  =  = 
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 =  =  ( number in the sqrt sign )
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 =  =  (same number that is in square root sign)
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 (We don't know the exact square root, but from the examples, we know the answer would be  , because  )( The answer is the number inside the square root sign, or "33")
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Lets do the original question.
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simplify the following radical expressions the square root of x times the square root of x
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, this is the same as all the examples, except that it is a letter.( It doesn't change the way we solve this problem though )
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If the answer is the number( or letter) inside the square root sign
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The answer would be  , since it is inside the square root sign.
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To find the square root of a number, you would need to find a number multiplied by itself, or squared to get that number (or letter). So since we found the square root of "x" (  ), and we are multiplying by the same number, we are saying  , which would be equal to "x"
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The simplified number/variable/expression would be 
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Your answer is
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Hope I helped,Levi
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