SOLUTION: simplify the following radical expressions the square root of x times the square root of x

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): You can put this solution on YOUR website!
another way of writing this is using the rule of multiplying exponents we have which = which =x
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
You have to know that: = x
Answer by Electrified_Levi(103)   (Show Source): You can put this solution on YOUR website!
Hi, Hope I can help,
.
simplify the following radical expressions the square root of x times the square root of x
.
Here is the problem you are trying to solve
.

.
We first have to know what square roots are
.
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)
.
Examples: find , the answer would be , since you can multiply 5 twice ( or square "5" ) to get 25, , or
.
find , the answer would be , you can multiply "9" twice to get "81", you can also square "9" to get "81", , or
.
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.
.
Examples: = =
.
= = ( number in the sqrt sign )
.
= = (same number that is in square root sign)
.
(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")
.
Lets do the original question.
.
simplify the following radical expressions the square root of x times the square root of x
.
, 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 )
.
If the answer is the number( or letter) inside the square root sign
.
The answer would be , since it is inside the square root sign.
.
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"
.
The simplified number/variable/expression would be
.
Your answer is
.
Hope I helped,Levi
RELATED QUESTIONS
Use Property 1 to simplify the following radical expressions. Assume that all variables... (answered by stanbon)
Simplify the radical square root of 256? (answered by Alan3354)
simplify the radical: square root of... (answered by MathLover1)
Simplify the following expressions using your knowledge of imaginary numbers. - square (answered by stanbon)
Use Property 2 to simplify each of the following radical expressions. square root of... (answered by checkley75,rapaljer)
square root of x times the square root of x (answered by stanbon)
Use Propery 2 to simplify each of the following radical expressions square root of 10 (answered by rapaljer)
Simplify the square root of... (answered by checkley77)