To add $\sqrt { 20 } + 3 \sqrt { 45 }$ , simplify the radicals first.

Name: To add $\sqrt { 20 } + 3 \sqrt { 45 }$ , simplify the radicals first.
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Question

Quizplus · Accepted Answer

$\sqrt{20}$ can be simplified as $\sqrt{4 \times 5} = 2\sqrt{5}$
$\sqrt{45}$ can be simplified as $\sqrt{9 \times 5} = 3\sqrt{5}$

Therefore, $\sqrt { 20 } + 3 \sqrt { 45 } = 2\sqrt{5} + 3\cdot 3\sqrt{5} = 2\sqrt{5} + 9\sqrt{5} = 11\sqrt{5}$

So, we can add $\sqrt{20} + 3\sqrt{45}$ after simplifying into $11\sqrt{5}$.

To Add 20+345\sqrt { 20 } + 3 \sqrt { 45 }20​+345​