Solve frac{7sqrt{2}}{2sqrt{8}}

$$\frac { 7 \sqrt { 2 } } { 2 \sqrt { 8 } }$$

Evaluate

$$\frac{7}{4}=1.75$$

Solution Steps

Factor 8=2^{2}\times 2. Rewrite the square root of the product \sqrt{2^{2}\times 2} as the product of square roots \sqrt{2^{2}}\sqrt{2}. Take the square root of 2^{2}.

$$\frac{7\sqrt{2}}{2\times 2\sqrt{2}}$$

Multiply 2 and 2 to get 4.

$$\frac{7\sqrt{2}}{4\sqrt{2}}$$

Cancel out \sqrt{2} in both numerator and denominator.

$$\frac{7}{4}$$

Factor

$$\frac{7}{2 ^ {2}} = 1\frac{3}{4} = 1.75$$