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

222

22

Decimal

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

(\frac{9 ^{2}}{9 ^{- 12}}) (\frac{9 ^{- 3}}{( - 9 ^{9} )})

(7 a^{2} b c^{3}) (4 ab c)

(x - 3)^{4}

\frac{- 78}{6}

(e^{- \frac{7}{12}})^{4} ln (e^{- \frac{7}{12}})

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