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DanielleElmas [232]
2 years ago
11

Which expression is equivalent to

title="18x\sqrt{14x^8}/6\sqrt{7x^4" alt="18x\sqrt{14x^8}/6\sqrt{7x^4" align="absmiddle" class="latex-formula"> if x\neq 0
a. 12x^4\sqrt{2}\\
b. 3x^4\sqrt{2}
c. 3x^4\sqrt{7}
d. 3x\sqrt{2}
Mathematics
1 answer:
Pani-rosa [81]2 years ago
4 0

The equivalent expression is 3x^4\sqrt{2} . Option B

<h3>How to determine the expression</h3>

Given the expression

= \frac{18x\sqrt{14x^8} }{6\sqrt{7x^4} }

Divide the multipliers, we have

= \frac{3x\sqrt{14x^8} }{7x^4}

Let factorize the numerator in square root

= \frac{3x \sqrt{7x^4 * 2x^4} }{7x^4}

Eliminate the like factor in both the numerator and denominator

= 3\sqrt{2x^4}

Let's bring forth the 'x' factor, we have

= 3x^4\sqrt{2}

Thus, the equivalent expression 3x^4\sqrt{2} . Option B

Learn more about algebraic expression here:

brainly.com/question/723406

#SPJ1

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