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Oxana [17]
3 years ago
14

Which expression is equivalent to 4sqrt x10? Need answers ASAP!!

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
6 1

Answer:

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

Step-by-step 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{} \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{} \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} ).  

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