Question

Please help

Answer 1

$\bf 3\sqrt[3]{2a} -6\sqrt[3]{2a}\qquad \stackrel{add ing~like-terms}{\implies }\qquad -3\sqrt[3]{2a}$

Answer 2

Answer:

$-3\sqrt[3]{2a}$

Step-by-step explanation:

We have been given a  radical expression $3\sqrt[3]{2a} -6\sqrt[3]{2a}$ and we are asked to write our given expression in simplest form.

Using exponent property $\sqrt[n]{x}=x^{\frac{1}{n}$ we can write our given expression as:

$3*(2a)^{\frac{1}{3}}-6*(2a)^{\frac{1}{3}}$

Since we can add or subtract variables with same powers and we have like bases and like exponents for our given expression, so we can subtract $6*(2a)^{\frac{1}{3}}$ from $3*(2a)^{\frac{1}{3}}$

$-3(2a)^{\frac{1}{3}}$

Using exponent property $x^{\frac{1}{n}=\sqrt[n]{x}$ we will get,

$-3\sqrt[3]{2a}$

Therefore, our given radical expression simplifies to $-3\sqrt[3]{2a}$.