Solve sqrt((6.25)/(0.07)) | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$\sqrt{ \frac{ 6.25 }{ 0.07 } }$$

Evaluate

$\frac{25\sqrt{7}}{7}\approx 9.449111825$

Solution Steps

Expand $\frac{6.25}{0.07}$ by multiplying both numerator and the denominator by $100$.

$$\sqrt{\frac{625}{7}}$$

Rewrite the square root of the division $\sqrt{\frac{625}{7}}$ as the division of square roots $\frac{\sqrt{625}}{\sqrt{7}}$.

$$\frac{\sqrt{625}}{\sqrt{7}}$$

Calculate the square root of $625$ and get $25$.

$$\frac{25}{\sqrt{7}}$$

Rationalize the denominator of $\frac{25}{\sqrt{7}}$ by multiplying numerator and denominator by $\sqrt{7}$.

$$\frac{25\sqrt{7}}{\left(\sqrt{7}\right)^{2}}$$

The square of $\sqrt{7}$ is $7$.

$$\frac{25\sqrt{7}}{7}$$