Simplify. $$ \sqrt{\frac{64}{25}} $$

Question

UpStudy AI · Accepted Answer

To simplify the expression:

$$
\sqrt{\frac{64}{25}}
$$

**Step 1:** Use the property of square roots that allows you to separate the numerator and the denominator:

$$
\sqrt{\frac{64}{25}} = \frac{\sqrt{64}}{\sqrt{25}}
$$

**Step 2:** Calculate the square roots of the numerator and the denominator:

$$
\sqrt{64} = 8 \quad \text{and} \quad \sqrt{25} = 5
$$

**Step 3:** Substitute these values back into the fraction:

$$
\frac{\sqrt{64}}{\sqrt{25}} = \frac{8}{5}
$$

**Final Answer:**

$$
\sqrt{\frac{64}{25}} = \frac{8}{5}
$$
$$ \sqrt{\frac{64}{25}} = \frac{8}{5} $$

Simplify. \[ \sqrt{\frac{64}{25}} \]