What is (sqrt(2)\sqrt[4]{10})^2 ?

The solution to (sqrt(2)\sqrt[4]{10})^2 is 2sqrt(10)

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simplify (sqrt(2)\sqrt[4]{10})^2

simplify

210

Decimal Notation

6.32455 \dots

Solution steps

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

Apply exponent rule:

a^{m} b^{m} = (ab)^{m}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(2^{\frac{3}{4}})^{2} : 2^{\frac{3}{2}}

2^{\frac{3}{2}} = 22

= 22

= 225

Apply radical rule:

a b = a \cdot b

25 = 2 \cdot 5

= 2 2 \cdot 5

Multiply the numbers:

2 \cdot 5 = 10

= 210

\frac{π \cdot 0.0 5 ^{2}}{4}

\frac{2}{24}

\frac{3}{4} - 2 \frac{1}{3} + \frac{7}{2} - \frac{1}{5}

99 \cdot 3

1 - 2 sin^{2} (5 θ)

What is (sqrt(2)\sqrt[4]{10})^2 ?
The solution to (sqrt(2)\sqrt[4]{10})^2 is 2sqrt(10)