Question

Find the simplified product:xFormula1" title="\sqrt{2x^{3} }-\sqrt{18x^{5} }" alt="\sqrt{2x^{3} }-\sqrt{18x^{5} }" align="absmiddle" class="latex-formula">

Answer 1

Correct Question: Find the simplified product: $\sqrt{2x^3}*\sqrt{18x^5}$

Answer:

$6x^4$

Step-by-step explanation:

Based on the rules of radicals, since $\sqrt{2x^3}$ and $\sqrt{18x^5}$ has the same index (square root), therefore:

$\sqrt{2x^3}*\sqrt{18x^5} = \sqrt{2x^3 * 18x^5}$

To simplify this, multiply their bases together, and add their exponents.

$= \sqrt{2*18x^{3+5}$

$= \sqrt{36x^{8}$

Simplify further

$= \sqrt{36}*\sqrt{x^8}$

$= \sqrt{6*6}*\sqrt{x^4*x^4}$

$= 6x^4$