Solve sqrt{81/4}*7.9^2

$$\sqrt{ \frac{ 81 }{ 4 } } \times { 7.9 }^{ 2 }$$

Evaluate

$$280.845$$

Solution Steps

Rewrite the square root of the division \frac{81}{4} as the division of square roots \frac{\sqrt{81}}{\sqrt{4}}. Take the square root of both numerator and denominator.

$$\frac{9}{2}\times 7.9^{2}$$

Calculate 7.9 to the power of 2 and get 62.41.

$$\frac{9}{2}\times 62.41$$

Convert decimal number 62.41 to fraction \frac{6241}{100}.

$$\frac{9}{2}\times \frac{6241}{100}$$

Multiply \frac{9}{2} times \frac{6241}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 6241}{2\times 100}$$

Do the multiplications in the fraction \frac{9\times 6241}{2\times 100}.

$$\frac{56169}{200}$$

Factor

$$\frac{3 ^ {2} \cdot 79 ^ {2}}{2 ^ {3} \cdot 5 ^ {2}} = 280\frac{169}{200} = 280.845$$