Question

Which expression is equivalent to 18x^2√14x^8 / 6√7x^4, if x ≠ 0?

Answer 1

The equivalent expression of $18x^2\sqrt{14x^8} \div 6\sqrt{7x^4}$ is $3x^4\sqrt{2}$

How to determine the equivalent expression?

The expression is given as:

$18x^2\sqrt{14x^8} \div 6\sqrt{7x^4}$

Start by dividing 18 by 6

$3x^2\sqrt{14x^8} \div \sqrt{7x^4}$

Next, divide 14 by 7

$3x^2\sqrt{2x^8} \div \sqrt{x^4}$

Take the square root of x^8 and x^4

$3x^2 * x^4\sqrt{2} \div x^2$

Divide x^2 by x^2

$3* x^4\sqrt{2}$

Evaluate

$3x^4\sqrt{2}$

Hence, the equivalent expression of $18x^2\sqrt{14x^8} \div 6\sqrt{7x^4}$ is $3x^4\sqrt{2}$

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https://brainly.com/question/2972832

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