108k views
1 vote
Which expression is equivalent to 4sqrt x10?
Need answers ASAP!!

Which expression is equivalent to 4sqrt x10? Need answers ASAP!!-example-1
User SimonW
by
5.1k points

1 Answer

3 votes

Answer:

The answer is x^2(
\sqrt[4]{x^2} ).

Explanation:

To find an expression equivalent to 4 sqrt x^10, start by simplifying 4 sqrt x^10. To simplify the original equation, rewrite
x^(10) as (
x^(2))^4
x^(2). Then, pull terms out from under the radical, which will look like
x^(2)
\sqrt[4]{x^2}. Next, rewrite
\sqrt[4]{x^2} as
x^(2)
\sqrt{} √(x)^2. Finally, pull terms out from under the radical, assuming positive real numbers, which look like
\sqrt[x^2]{x}, and this will simplify 4 sqrt x^10.

Now, simplify
x^(2)(
\sqrt[4]{x^2} ). To simplify, rewrite
\sqrt[4]{x^2} as
\sqrt{} √(x^2). Then, pull terms out from under the radical, assuming positive real numbers, and the final answer is
\sqrt[x^2]{x}.

Finally, 4 sqrt x^10 is equivalent to
x^(2)(
\sqrt[4]{x^2} ).

User JohnGalt
by
5.0k points