Question

simplify: 1. \\(\sqrt{63} = \\) 2. \\(\sqrt{147} = \\) 3. \\(\sqrt{125} = \\) submit answer

Explanation:

Step1: Factor 63 into square factor

$\sqrt{63} = \sqrt{9 \times 7}$

Step2: Simplify the square root

$\sqrt{9 \times 7} = \sqrt{9} \times \sqrt{7} = 3\sqrt{7}$

Step3: Factor 147 into square factor

$\sqrt{147} = \sqrt{49 \times 3}$

Step4: Simplify the square root

$\sqrt{49 \times 3} = \sqrt{49} \times \sqrt{3} = 7\sqrt{3}$

Step5: Factor 125 into square factor

$\sqrt{125} = \sqrt{25 \times 5}$

Step6: Simplify the square root

$\sqrt{25 \times 5} = \sqrt{25} \times \sqrt{5} = 5\sqrt{5}$

Answer:

1. $3\sqrt{7}$
2. $7\sqrt{3}$
3. $5\sqrt{5}$