Solve 10-1.962(1.56/sqrt{15})

$$10-1.962( \frac{ 1.56 }{ \sqrt{ 15 } } )$$

Evaluate

$$-\frac{12753\sqrt{15}}{62500}+10\approx 9.209725494$$

Solution Steps

Rationalize the denominator of \frac{1.56}{\sqrt{15}} by multiplying numerator and denominator by \sqrt{15}.

$$10-1.962\times \frac{1.56\sqrt{15}}{\left(\sqrt{15}\right)^{2}}$$

The square of \sqrt{15} is 15.

$$10-1.962\times \frac{1.56\sqrt{15}}{15}$$

Divide 1.56\sqrt{15} by 15 to get 0.104\sqrt{15}.

$$10-1.962\times 0.104\sqrt{15}$$

Multiply 1.962 and 0.104 to get 0.204048.

$$10-0.204048\sqrt{15}$$