What is sqrt(7)*sqrt(7)*sqrt(7) ?

The solution to sqrt(7)*sqrt(7)*sqrt(7) is 7sqrt(7)

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simplify sqrt(7)sqrt(7)sqrt(7)

simplify

7 \cdot 7 \cdot 7

77

Decimal Notation

18.52025 \dots

Solution steps

777

Apply exponent rule:

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

777 = 7^{\frac{1}{2}} \cdot 7^{\frac{1}{2}} \cdot 7^{\frac{1}{2}} = 7^{\frac{1}{2} + \frac{1}{2} + \frac{1}{2}}

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

Combine the fractions

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

= 7^{\frac{3}{2}}

7^{\frac{3}{2}} = 7^{1 + \frac{1}{2}}

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

Apply exponent rule:

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

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

Refine

= 77

\frac{( 1 + 4 x )}{( 1 - x )}

6 x e^{- x^{2}}

(x + 3)^{- 1}

\frac{e ^{x^{2}}}{e ^{x}}

- x (2 x^{2})

What is sqrt(7)*sqrt(7)*sqrt(7) ?
The solution to sqrt(7)*sqrt(7)*sqrt(7) is 7sqrt(7)