Question

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Divide Radicals

Simplify completely.
Answers and Equation - http://imgur.com/G6uCDDU

Answer 1

@esshotwired

Answer 2

@Mashy

Answer 3

@phi

Answer 4

that looks like multiply radicals

Answer 5

It says divide radicals on the practice though

Answer 6

for
\[ 2 \sqrt{3} \cdot 4 \sqrt{21} \]

which really means multiply all 4 things
\[ 2 \cdot \sqrt{3} \cdot 4 \cdot\sqrt{21} \]

and when you multiply, you can switch the order (right?)
\[ 2 \cdot 4 \cdot \sqrt{3} \cdot \sqrt{21}\]

Answer 7

now you probably can do 2*4 ?

Answer 8

8 lol

Answer 9

ok so far we have
\[ 8 \cdot \sqrt{3} \cdot \sqrt{21} \]

when we multiply radicals, we can "combine them"
using this rule
\[ \sqrt{a} \cdot \sqrt{b} = \sqrt{a\cdot b} \]

can you use that rule for our problem?

Answer 10

Uhm... No?

Answer 11

the rule says "move" the 3 inside the sqr of 21 (just write 3*21 inside one square root)

try it

Answer 12

are you having difficulty write 3*21 inside one square root sign?

Answer 13

Is it D? Just tried the work @phi

Answer 14

Wait scratch that, not D

Answer 15

I have not looked at the answers. We will know the answer after \(\cancel{we} \) you finish.

Answer 16

\[ 8 \cdot \sqrt{3} \cdot \sqrt{21} \\
8 \cdot \sqrt{3 \cdot21} \]

Answer 17

the next step is factor the 21

can you do that?