# How do you simplify sqrt(3a^7)?

Apr 21, 2017

#### Answer:

Distribute the square root and simplify.

#### Explanation:

We can rewrite the expression as $\sqrt{3} \sqrt{{a}^{7}}$, then we can express the square root as a exponent, so the expression becomes $\sqrt{3} {\left({a}^{7}\right)}^{\frac{1}{2}}$, we can now multiply both exponents of a to obtain a single exponent, the expression becomes $\sqrt{3} \left({a}^{\frac{7}{2}}\right)$

Apr 24, 2017

See below.

#### Explanation:

If you have not learned fractional exponents before, then in your case, $3 {a}^{7}$ would be simplified differently.

$\sqrt{3 \cdot a \cdot {a}^{3} \cdot {a}^{3}}$
${a}^{3} \sqrt{3 a}$

This would be your answer.