What is sqrt(2)\times sqrt(2)\times sqrt(2) ?

The solution to sqrt(2)\times sqrt(2)\times sqrt(2) is 2sqrt(2)

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simplify sqrt(2)\times sqrt(2)\times 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

100 e^{- 0.5}

e^{- x} \times (- 2) e^{- 2 x}

300000 e^{- 0.07 (25)}

e^{14}

x + h \times x

What is sqrt(2)\times sqrt(2)\times sqrt(2) ?
The solution to sqrt(2)\times sqrt(2)\times sqrt(2) is 2sqrt(2)