Solve sqrt[2]{172964.7^1/87000}=

$$\sqrt[ 2 ] { \frac { 172964.7 ^ { 1 } } { 87000 } } =$$

Evaluate

$$1.41$$

Solution Steps

Calculate 172964.7 to the power of 1 and get 172964.7.

$$\sqrt[2]{\frac{172964.7}{87000}}$$

Expand \frac{172964.7}{87000} by multiplying both numerator and the denominator by 10.

$$\sqrt[2]{\frac{1729647}{870000}}$$

Reduce the fraction \frac{1729647}{870000} to lowest terms by extracting and canceling out 87.

$$\sqrt[2]{\frac{19881}{10000}}$$

Calculate \sqrt[2]{\frac{19881}{10000}} and get \frac{141}{100}.

$$\frac{141}{100}$$

Factor

$$\frac{3 \cdot 47}{2 ^ {2} \cdot 5 ^ {2}} = 1\frac{41}{100} = 1.41$$