What is sqrt(2)*sqrt(2)*sqrt(2) ?

The solution to sqrt(2)*sqrt(2)*sqrt(2) is 2sqrt(2)

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simplify sqrt(2)sqrt(2)sqrt(2)

simplify

2 \cdot 2 \cdot 2

22

Decimal Notation

2.82842 \dots

Solution steps

222

Apply exponent rule:

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

222 = 2^{\frac{1}{2}} \cdot 2^{\frac{1}{2}} \cdot 2^{\frac{1}{2}} = 2^{\frac{1}{2} + \frac{1}{2} + \frac{1}{2}}

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

Combine the fractions

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

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

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

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

Apply exponent rule:

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

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

Refine

= 22

10 x^{2} - 9 x + 2 = 0

(- 1)^{\frac{2}{3}}

2 x + 12 \geq 6

(3 + 2) (4 + 2)

9 x - x^{2} = 0

What is sqrt(2)*sqrt(2)*sqrt(2) ?
The solution to sqrt(2)*sqrt(2)*sqrt(2) is 2sqrt(2)