Ask Me Help Desk - Radical expressions

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radical expressions

How do you subtract add and multiply radicals with numbers in front like

4√ 45-√ 75

And 2√ 5+4√ 20

Try breaking the number inside the radical up into a perfect square.

The second one:

$2\sqrt{5}+\sqrt{20}$

$\sqrt{20}=\sqrt{5\cdot 4}=2\sqrt{5}$

See? There is a $\sqrt{5}$ and 4 is a perfect square. So, we can add it to the other.

$2\sqrt{5}+2\sqrt{5}=4\sqrt{5}$

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