Solve frac{sqrt[5]{tan(0)}}{sqrt[4]{1.5/38.462}}*1.5

$$\frac { \sqrt[ 5 ] { \tan ( 0 ) } } { \sqrt[ 4 ] { \frac { 1.5 } { 38.462 } } } \times 1.5$$

Evaluate

$$0$$

Solution Steps

Get the value of \tan(0) from trigonometric values table.

$$1.5\times \frac{\sqrt[5]{0}}{\sqrt[4]{\frac{1.5}{38.462}}}$$

Calculate \sqrt[5]{0} and get 0.

$$1.5\times \frac{0}{\sqrt[4]{\frac{1.5}{38.462}}}$$

Expand \frac{1.5}{38.462} by multiplying both numerator and the denominator by 1000.

$$1.5\times \frac{0}{\sqrt[4]{\frac{1500}{38462}}}$$

Reduce the fraction \frac{1500}{38462} to lowest terms by extracting and canceling out 2.

$$1.5\times \frac{0}{\sqrt[4]{\frac{750}{19231}}}$$

Zero divided by any non-zero term gives zero.

$$1.5\times 0$$

Multiply 1.5 and 0 to get 0.

$$0$$