Solve sqrt{36*49/64}

$$\sqrt { \frac { 36 \times 49 } { 64 } }$$

Evaluate

$$\frac{21}{4}=5.25$$

Solution Steps

Multiply 36 and 49 to get 1764.

$$\sqrt{\frac{1764}{64}}$$

Reduce the fraction \frac{1764}{64} to lowest terms by extracting and canceling out 4.

$$\sqrt{\frac{441}{16}}$$

Rewrite the square root of the division \frac{441}{16} as the division of square roots \frac{\sqrt{441}}{\sqrt{16}}. Take the square root of both numerator and denominator.

$$\frac{21}{4}$$

Factor

$$\frac{3 \cdot 7}{2 ^ {2}} = 5\frac{1}{4} = 5.25$$