Solve 2sqrt[10]{100000}

$$2 \sqrt[ 10 ]{ 100000 }$$

Evaluate

$$2\sqrt{10}\approx 6.32455532$$

Solution Steps

Rewrite \sqrt[10]{100000} as \sqrt[10]{10^{5}}. Convert from radical to exponential form and cancel out 5 in the exponent. Convert back to radical form.

$$\sqrt[10]{100000}=\sqrt[10]{10^{5}}=10^{\frac{5}{10}}=10^{\frac{1}{2}}=\sqrt{10}$$

Insert the obtained value back in the expression.

$$2\sqrt{10}$$