en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(5)*\sqrt[5]{5}

Solution

simplify

Solution

+1

Decimal Notation

3.08516 \dots

Solution steps

Apply radical rule:

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

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

Apply radical rule:

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

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

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

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

\frac{1}{2} + \frac{1}{5} = \frac{7}{10}

= 5^{\frac{7}{10}}

Popular Examples

- 10 \leq 4 x - 5 \leq 4

factor 40p^2-39p-40 factor

40 p^{2} - 39 p - 40

factor x^3-4x^2-3x+18 factor

x^{3} - 4 x^{2} - 3 x + 18

- 3 x - 12 < 3 x + 12

factor 64x^6-y^6 factor

64 x^{6} - y^{6}

Frequently Asked Questions (FAQ)

What is sqrt(5)*\sqrt[5]{5} ?
The solution to sqrt(5)*\sqrt[5]{5} is \sqrt[10]{5^7}