The equivalent expression of [tex]18x^2\sqrt{14x^8} \div 6\sqrt{7x^4}[/tex] is [tex]3x^4\sqrt{2}[/tex]
How to determine the equivalent expression?
The expression is given as:
[tex]18x^2\sqrt{14x^8} \div 6\sqrt{7x^4}[/tex]
Start by dividing 18 by 6
[tex]3x^2\sqrt{14x^8} \div \sqrt{7x^4}[/tex]
Next, divide 14 by 7
[tex]3x^2\sqrt{2x^8} \div \sqrt{x^4}[/tex]
Take the square root of x^8 and x^4
[tex]3x^2 * x^4\sqrt{2} \div x^2[/tex]
Divide x^2 by x^2
[tex]3* x^4\sqrt{2}[/tex]
Evaluate
[tex]3x^4\sqrt{2}[/tex]
Hence, the equivalent expression of [tex]18x^2\sqrt{14x^8} \div 6\sqrt{7x^4}[/tex] is [tex]3x^4\sqrt{2}[/tex]
Read more about equivalent expression at:
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