Question

11 multiply the radicals together: $sqrt{12} cdot sqrt{6} cdot sqrt{x^3} cdot sqrt{x^7}$
a $sqrt{18x^{21}}$
b $sqrt{72x^{10}}$
c $sqrt{72x^{21}}$
d $sqrt{18x^{10}}$

Explanation:

Step1: Multiply radicands inside roots

$\sqrt{12 \cdot 6 \cdot x^3 \cdot x^7}$

Step2: Simplify coefficient and exponents

$\sqrt{(12 \times 6) \cdot x^{3+7}} = \sqrt{72x^{10}}$

Answer:

C. $\sqrt{72x^{10}}$