Question

Which expression is equivalent to 7x^2 sqrt 2x^4 times 6 sqrt 2x^12 if x ≠ 0

Answer 1

The equivalent expression of $7x^2 \sqrt{2x^4} \times 6 \sqrt {2x^{12 }$ is $84x^{10$

How to determine the equivalent expression?

The expression is given as:

7x^2 sqrt 2x^4 times 6 sqrt 2x^12

Rewrite properly as:

$7x^2 \sqrt{2x^4} \times 6 \sqrt {2x^{12 }$

Evaluate the product

$7 * 6x^2 \sqrt{2x^4*2x^{12 }$

This gives

$42x^2 \sqrt{4x^{16}$

Take the square root of 4

$2*42x^2 \sqrt{x^{16}$

Take the square root of x^16

$2*42x^2 *x^8$

So, we have:

$84x^{10$

Hence, the equivalent expression of $7x^2 \sqrt{2x^4} \times 6 \sqrt {2x^{12 }$ is $84x^{10$

Read more about equivalent expression at:

brainly.com/question/2972832

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