Question

help!

Answer 1

simplify \[\sqrt{140}\]

Answer 2

Alrighty, do you know what you can multiply to get 140?

Answer 3

lol 70 and 2

Answer 4

alrighty, so now you have this\[\sqrt{140}=\sqrt{2*70}\]break it down further, what are multiples of 70?

Answer 5

7 and 10

Answer 6

and multiples of 10 are 2 and 5

Answer 7

alrighty, since you used those multiples, we need to break it down one more time, since we have\[\sqrt{140}=\sqrt{70*2}=\sqrt{7*10*2}\]

Answer 8

there you go, now you understand so

Answer 9

now we have this\[\sqrt{140}=\sqrt{2*2*5*7}=\sqrt{2}*\sqrt{2}*\sqrt{5}*\sqrt{7}\]so do you know what happens when you multiply\[\sqrt{2}*\sqrt{2}\]

Answer 10

\[\sqrt{4}\]

Answer 11

yup, and what does that simplify to?

Answer 12

2

Answer 13

Bam, so now look what we have,\[2*\sqrt{7}*\sqrt{5}=2\sqrt{35}\]sadly that's as far as you can simplify this, so you're done once you get that far

Answer 14

yay thanks ! now what about this?
what is the simplified form of \[\sqrt{48n^9}\]

Answer 15

that is a 9

Answer 16

n to the power of 9 right?

Answer 17

yes

Answer 18

Alrighty, so here are some rules for you to remember that will help, when asked to simplify a square root, try to take the regular number, and break it down to numbers that are perfect squares, so 48 should be broken down like this\[\sqrt{48}=\sqrt{4*12}=\sqrt{4*4*3}\]so you can simplify that, and here's the next rule\[n^9=n^4*n^4*n\]why is this true? because\[x^{a+b}=x^a*x^b\]so you can break up the power

Answer 19

ok so the answer would be\[4n^4 \sqrt{3n}\]

Answer 20

Great job! Yes, that's correct

Answer 21

:) thanks