2005 CEMC Pascal Problems/Problem 5

Problem

The value of $\sqrt{36 \times \sqrt{16}}$ is

$\text{ (A) }\ 12 \qquad\text{ (B) }\ 144 \qquad\text{ (C) }\ 24 \qquad\text{ (D) }\ 26 \qquad\text{ (E) }\ 96$

Solution 1

$\sqrt{36 \times \sqrt{16}} = \sqrt{36 \times 4} = \sqrt{144} = \boxed {\textbf {(A) } 12}$

~anabel.disher

Solution 1.5

$\sqrt{36 \times \sqrt{16}} = \sqrt{36 \times 4} = \sqrt{6^2 \times 2^2} = 6 \times 2 = \boxed {\textbf {(A) } 12}$

~anabel.disher