Write in Exponential Form 2 square root of a+3 square root of b

$2 \sqrt{a + 3 \sqrt{b}}$

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{b}$ as $b^{\frac{1}{2}}$ .

$2 \sqrt{a + 3 b^{\frac{1}{2}}}$

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{a + 3 b^{\frac{1}{2}}}$ as ${(a + 3 b^{\frac{1}{2}})}^{\frac{1}{2}}$ .

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