Question

Free medal!!!

Answer 1

√84y^7

Answer 2

@sleepyjess @confluxepic @TheSmartOne @ageta

Answer 3

@jim_thompson5910

Answer 4

The problem is this
\[\Large \sqrt{84y^7}\]
correct?

Answer 5

yea it is the problem

Answer 6

we have to simplify it

Answer 7

what are some ways to factor 84? which factors are perfect squares?

Answer 8

4 and 21

Answer 9

good

Answer 10

with the y^7, we can break it up into y^6*y

agreed?

Answer 11

yep

Answer 12

So based on all that, we can say
\[\Large \sqrt{84y^7}\]
\[\Large \sqrt{4*21*y^6*y}\]
\[\Large \sqrt{4y^6*21y}\]
\[\Large \sqrt{4y^6}*\sqrt{21y}\]

Answer 13

what comes next?

Answer 14

2

Answer 15

square root of 4 is 2, yes

how about the y^6 part?

Answer 16

divide it by two

Answer 17

i think

Answer 18

yes 6/2 = 3 is the new exponent

Answer 19

So
\[\Large \sqrt{4y^6}*\sqrt{21y}\]
turns into
\[\Large 2y^3*\sqrt{21y}\]

Answer 20

and that's as simplified as it gets

Answer 21

oh i get it now

Answer 22

thank you

Answer 23

no problem