Question

Simplify the expression. $$\frac{\sqrt{9}}{\sqrt{49}}$$

Short answer

The simplified form of \(\frac{\sqrt{9}}{\sqrt{49}}\) is \(\frac{3}{7}\).

Step-by-step solution

Understand the square root

When you see \(\sqrt{n}\), consider it as 'what number times itself gives me n'. For instance, \(\sqrt{9}\) means 'what number times itself gives me 9'. The answer is 3, because 3*3 = 9.

Apply the square root to the numbers

Let's put the understanding from step 1 into practice:I. Evaluate \(\sqrt{9}\) = 3, because 3*3 = 9.II. Evaluate \(\sqrt{49}\) = 7, because 7*7 = 49.

Substitute the square roots

Now substitute the square roots in the original expression with the values we just calculated:\(\frac{\sqrt{9}}{\sqrt{49}} = \frac{3}{7}\)