What is sqrt(5*\sqrt{10)} ?

The solution to sqrt(5*\sqrt{10)} is \sqrt[4]{5^3}\sqrt[4]{2}

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simplify sqrt(5*\sqrt{10)}

simplify

5 \cdot 10

Decimal Notation

3.97635 \dots

Solution steps

510

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

510 = 510

= 510

Factor integer

10 = 5 \cdot 2

Apply radical rule:

Apply exponent rule:

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

5^{\frac{1}{2} + \frac{1}{4}} = 5^{\frac{3}{4}}

64 k^{2} - \frac{9}{2}

(w + 6)^{2}

(x + 3)^{2} - 4 (x + 3) + 4

3 z^{2} + 6 z + 9

(m^{6})^{3}

What is sqrt(5*\sqrt{10)} ?
The solution to sqrt(5*\sqrt{10)} is \sqrt[4]{5^3}\sqrt[4]{2}