Question

How do I solve this

What is the product of (6)sqrt7 (2) sqrt21? Simplify if possible

I want to know how to do this. The equation is also in the comments

Answer 1

is it (6 sqrt(7))^2? or 6 (sqrt(7))^2...

Answer 2

\[6\sqrt{7} \times 2 \sqrt{21}\]

Answer 3

Sorry I fixed it.

Answer 4

18*sqrt(7*7*7*7)

Answer 5

does that help?

Answer 6

you can combine both of these. multiplying 2 square roots \(\large \sqrt{a}*\sqrt{b} = \sqrt{ab}\)

Answer 7

\[6\sqrt{7}\times 2\sqrt{21}=6\times2 \times \sqrt{7 \times 3 \times 7}\]

Answer 8

Does whatever these helpers mentioned help you understand how it works?...

Answer 9

sort of hold on

Answer 10

So far I have \[12*\sqrt{147}\]

Answer 11

and 147 = 21 * 3 = 7 * 3 * 3\[\large \sqrt{147} = \sqrt{7*\color{blue}{3*3}} \] see how we can pull out the 3's?

Answer 12

not really

Answer 13

for every pair of 2 numbers (of the similar kind) inside a square root, you can pull one out. Therefore if we have 2 3's inside the square root, we can pull one out. This will leave us with \[\large 3\sqrt{7}\]

Answer 14

That is it? It is solved?

Answer 15

I was just explaining how you simplify stuff inside the square root.

Answer 16

Now you can refer back to what @Mertsj has shown up there, and use this concept of pulling out pairs of numbers inside the square root to solve your problem

Answer 17

Thanks

Answer 18

is the answer \[7\sqrt{3}\]

Answer 19

no

Answer 20

\[6 \times 2 \sqrt{7 \times7 \times 3}=12\times 7 \sqrt{3}=84\sqrt{3}\]

Answer 21

Oh I left out the 12 when multiplying it with the 7

Answer 22

@Jhannybean When it says "What is the exact value of the expression" then has an equation like the last one what does it want me to do?