Solve 5^2*sqrt{81%}

$${ 5 }^{ 2 } \times \sqrt{ 81 \% }$$

Evaluate

$$\frac{45}{2}=22.5$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$25\sqrt{\frac{81}{100}}$$

Rewrite the square root of the division \frac{81}{100} as the division of square roots \frac{\sqrt{81}}{\sqrt{100}}. Take the square root of both numerator and denominator.

$$25\times \frac{9}{10}$$

Express 25\times \frac{9}{10} as a single fraction.

$$\frac{25\times 9}{10}$$

Multiply 25 and 9 to get 225.

$$\frac{225}{10}$$

Reduce the fraction \frac{225}{10} to lowest terms by extracting and canceling out 5.

$$\frac{45}{2}$$

Factor

$$\frac{3 ^ {2} \cdot 5}{2} = 22\frac{1}{2} = 22.5$$