What is (sqrt(10))/(\sqrt[4]{8)} ?

The solution to (sqrt(10))/(\sqrt[4]{8)} is (sqrt(5))/(\sqrt[4]{2)}

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simplify (sqrt(10))/(\sqrt[4]{8)}

simplify

Decimal Notation

1.88030 \dots

Solution steps

Apply radical rule:

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

10 = 1 0^{\frac{1}{2}}

Apply radical rule:

= \frac{1 0 ^{\frac{1}{2}}}{8 ^{\frac{1}{4}}}

Factor

1 0^{\frac{1}{2}} : 2^{\frac{1}{2}} \cdot 5^{\frac{1}{2}}

= \frac{2 ^{\frac{1}{2}} \cdot 5 ^{\frac{1}{2}}}{8 ^{\frac{1}{4}}}

Factor

8^{\frac{1}{4}} : 2^{\frac{3}{4}}

= \frac{2 ^{\frac{1}{2}} \cdot 5 ^{\frac{1}{2}}}{2 ^{\frac{3}{4}}}

Simplify

Apply exponent rule:

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

5^{\frac{1}{2}} = 5

\frac{4}{5} + \frac{1}{4}

3 x^{2} = - x + 8

4 v^{2} - 4 v - 8

2 x^{2} - 2 x + 7 = 0

\frac{3 x - 1}{2 x + 5} < 0

What is (sqrt(10))/(\sqrt[4]{8)} ?
The solution to (sqrt(10))/(\sqrt[4]{8)} is (sqrt(5))/(\sqrt[4]{2)}