Convert to Radical Form (2^(1/2)*2^(3/4))

$(2^{\frac{1}{2}} \cdot 2^{\frac{3}{4}})$

Remove parentheses.

$2^{\frac{1}{2}} \cdot 2^{\frac{3}{4}}$

If $n$ is a positive integer that is greater than $x$ and $a$ is a real number or a factor, then $a^{\frac{x}{n}} = \sqrt[n]{a^{x}}$ .

$a^{\frac{x}{n}} = \sqrt[n]{a^{x}}$

Use the rule to convert $2^{\frac{1}{2}}$ to a radical, where $a = 2$ , $x = 1$ , and $n = 2$ .

$\sqrt{2} \cdot 2^{\frac{3}{4}}$

Use the rule to convert $2^{\frac{3}{4}}$ to a radical, where $a = 2$ , $x = 3$ , and $n = 4$ .

$\sqrt{2} \sqrt[4]{2^{3}}$

The result can be shown in multiple forms.

Exact Form:

$\sqrt{2} \sqrt[4]{2^{3}}$

Decimal Form:

$2.37841423 \dots$

Convert to Radical Form (2^(1/2)*2^(3/4))

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