Question

complete the list of the square roots of perfect squares.
type the correct answer in each box.

\\(\sqrt{16} = \\)

\\(\sqrt{49} = \\)

\\(\sqrt{289} = \\)

Explanation:

⚡ Using what you learned: Roots and Radicals

Step 1: Evaluate \(\sqrt{16}\)

Find the positive number that, when multiplied by itself, equals \(16\):

$$4 \times 4 = 16 \implies \sqrt{16} = 4$$

Step 2: Evaluate \(\sqrt{49}\)

Find the positive number that, when multiplied by itself, equals \(49\):

$$7 \times 7 = 49 \implies \sqrt{49} = 7$$

Step 3: Evaluate \(\sqrt{289}\)

Find the positive number that, when multiplied by itself, equals \(289\):

$$17 \times 17 = 289 \implies \sqrt{289} = 17$$

Answer:

$$\sqrt{16} = 4$$

$$\sqrt{49} = 7$$

$$\sqrt{289} = 17$$