Question

How do you Multiply Radicals?????​

Answer 1

Answer:

1. $4\sqrt{5}$

2. $10\sqrt{10}$

Step-by-step explanation:

When you multiply radicals, you do the following

$a\sqrt{b}\cdot c\sqrt{d}\\\\=ac\sqrt{bd}$

with that in mind

1.

$\sqrt{16}\cdot \sqrt{5}$

here we don't need to multiply 16 times 5, because 16 = 4^2 and take the square root of it, gives you 4

$=4\sqrt{5}$

2.

$\sqrt{20}\cdot 5\sqrt{2}\\\\\longrightarrow 20 = 2^2\cdot 5\\\\=2\sqrt{5}\cdot5\sqrt{2}\\\\=(2\cdot5)\sqrt{5\cdot2}\\\\=10\sqrt{10}$