Question

simplify:
\sqrt{700} = \quad simplify and remove all perfect squares from inside the square root.
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question 8
2 points
simplify: \sqrt3{1296}
\bigcirc 36
\bigcirc 6\sqrt3{6}
\bigcirc 12\sqrt3{6}
\bigcirc 8\sqrt3{2}

Explanation:

Step1: Factor 700 into perfect square

$700 = 100 \times 7$

Step2: Split square root

$\sqrt{700} = \sqrt{100 \times 7} = \sqrt{100} \times \sqrt{7}$

Step3: Simplify perfect square root

$\sqrt{100} = 10$, so $\sqrt{700} = 10\sqrt{7}$

Step4: Factor 1296 for cube root

$1296 = 216 \times 6 = 6^3 \times 2$

Step5: Split cube root

$\sqrt[3]{1296} = \sqrt[3]{6^3 \times 2} = \sqrt[3]{6^3} \times \sqrt[3]{2}$

Step6: Simplify perfect cube root

$\sqrt[3]{6^3} = 6$, so $\sqrt[3]{1296} = 6\sqrt[3]{2}$

Answer:

1. $\boldsymbol{10\sqrt{7}}$
2. $\boldsymbol{D. 6\sqrt[3]{2}}$