What is sqrt(50*\sqrt{10)} ?

The solution to sqrt(50*\sqrt{10)} is \sqrt[4]{2^3}*5\sqrt[4]{5}

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simplify sqrt(50*\sqrt{10)}

simplify

50 \cdot 10

Decimal Notation

12.57433 \dots

Solution steps

5010

Apply radical rule:

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

5010 = 5010

= 5010

50 = 2 \cdot 5

Factor integer

10 = 2 \cdot 5

Apply radical rule:

Apply exponent rule:

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

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

\frac{6}{7} \div 9

(a^{x + 1} - 2 a^{x} - a^{x - 1})^{2}

8 0^{2} + 6 0^{2}

\frac{55}{60}

2 (\frac{2}{2})

What is sqrt(50*\sqrt{10)} ?
The solution to sqrt(50*\sqrt{10)} is \sqrt[4]{2^3}*5\sqrt[4]{5}