Solve 2sqrt{2(1.75)/32}

$$2 \sqrt{ \frac{ 2(1.75) }{ 32 } }$$

Evaluate

$$\frac{\sqrt{7}}{4}\approx 0.661437828$$

Solution Steps

Multiply 2 and 1.75 to get 3.5.

$$2\sqrt{\frac{3.5}{32}}$$

Expand \frac{3.5}{32} by multiplying both numerator and the denominator by 10.

$$2\sqrt{\frac{35}{320}}$$

Reduce the fraction \frac{35}{320} to lowest terms by extracting and canceling out 5.

$$2\sqrt{\frac{7}{64}}$$

Rewrite the square root of the division \sqrt{\frac{7}{64}} as the division of square roots \frac{\sqrt{7}}{\sqrt{64}}.

$$2\times \frac{\sqrt{7}}{\sqrt{64}}$$

Calculate the square root of 64 and get 8.

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

Cancel out 8, the greatest common factor in 2 and 8.

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