What is (sqrt(72))/(\sqrt[4]{64)} ?

The solution to (sqrt(72))/(\sqrt[4]{64)} is 3

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simplify (sqrt(72))/(\sqrt[4]{64)}

simplify

3

Solution steps

Apply radical rule:

a = a^{\frac{1}{2}}

72 = 7 2^{\frac{1}{2}}

Apply radical rule:

= \frac{7 2 ^{\frac{1}{2}}}{6 4 ^{\frac{1}{4}}}

Factor

7 2^{\frac{1}{2}} : 8^{\frac{1}{2}} \cdot 9^{\frac{1}{2}}

= \frac{8 ^{\frac{1}{2}} \cdot 9 ^{\frac{1}{2}}}{6 4 ^{\frac{1}{4}}}

Factor

6 4^{\frac{1}{4}} : 8^{\frac{1}{2}}

= \frac{8 ^{\frac{1}{2}} \cdot 9 ^{\frac{1}{2}}}{8 ^{\frac{1}{2}}}

Cancel the common factor:

8^{\frac{1}{2}}

= 9^{\frac{1}{2}}

9^{\frac{1}{2}} = 3

= 3

(- 9 x^{2} + 3 x - 8) - (3 x^{2} + 8 x)

\frac{5}{3} + \frac{2}{3}

(x + 4) (2 x + 9)

(4 - 7 y) (7 + 4 y)

150 m^{2} n^{2} - 240 m n^{6} - 360 m^{3} n^{2}

What is (sqrt(72))/(\sqrt[4]{64)} ?
The solution to (sqrt(72))/(\sqrt[4]{64)} is 3