Solve frac{2sqrt{5}}{sqrt{5}}=3/5

$$\frac { 2 \sqrt { 5 } } { \sqrt { 5 } } = \frac { 3 } { 5 }$$

Verify

Solution Steps

Rationalize the denominator of \frac{2\sqrt{5}}{\sqrt{5}} by multiplying numerator and denominator by \sqrt{5}.

$$\frac{2\sqrt{5}\sqrt{5}}{\left(\sqrt{5}\right)^{2}}=\frac{3}{5}$$

The square of \sqrt{5} is 5.

$$\frac{2\sqrt{5}\sqrt{5}}{5}=\frac{3}{5}$$

Multiply \sqrt{5} and \sqrt{5} to get 5.

$$\frac{2\times 5}{5}=\frac{3}{5}$$

Multiply 2 and 5 to get 10.

$$\frac{10}{5}=\frac{3}{5}$$

Compare \frac{10}{5} and \frac{3}{5}.

$$\text{false}$$