What is sqrt(5)*sqrt(5)*sqrt(5) ?

The solution to sqrt(5)*sqrt(5)*sqrt(5) is 5sqrt(5)

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)sqrt(5)

simplify

5 \cdot 5 \cdot 5

55

Decimal Notation

11.18033 \dots

Solution steps

555

Apply exponent rule:

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

555 = 5^{\frac{1}{2}} \cdot 5^{\frac{1}{2}} \cdot 5^{\frac{1}{2}} = 5^{\frac{1}{2} + \frac{1}{2} + \frac{1}{2}}

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

Combine the fractions

\frac{1}{2} + \frac{1}{2} + \frac{1}{2} : \frac{3}{2}

= 5^{\frac{3}{2}}

5^{\frac{3}{2}} = 5^{1 + \frac{1}{2}}

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

Apply exponent rule:

x^{a + b} = x^{a} x^{b}

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

Refine

= 55

97^{2}

2.6 \cdot 1 0^{- 2}

- e^{x} (e^{- x})

What is sqrt(5)*sqrt(5)*sqrt(5) ?
The solution to sqrt(5)*sqrt(5)*sqrt(5) is 5sqrt(5)