Question

Put the following radical expression into simplified form. Assume the variable represents a positive number.

Answer 1

\[\sqrt{\frac{ 98a^5 }{ 3 }}\]

Answer 2

factor 98

Answer 3

49 & 2

Answer 4

49=7

Answer 5

yes
what about
\(\sqrt {a^5}\)
caqn you now simplify that ? after practicing so many similar problems ?

Answer 6

a^4*a=a^2=a
\[a \sqrt{a}\]

Answer 7

sure ?

Answer 8

yea, cuz one a will be left inside the radical, right?

Answer 9

lets try simplifying the 98 first
we are dealing with a sqrt so that means we can pull out multiples of two of a kind so lets break down 98 into its multiples

Answer 10

\(\Large \sqrt {a^5} = \sqrt {a^4}\sqrt a = a^2 \sqrt a\)

Answer 11

got that^^ ?

Answer 12

i thought the a^2 would still be in radical, that's why

Answer 13

scratch what I said >.<
Hartnn is already helpin

Answer 14

yup!

Answer 15

cool, so you have your numerator now
what about denominator ? how will you rationalize it ?
(once again, you've done it many times :) )

Answer 16

multiply it & it becomes 3 w/o the radical

Answer 17

yes, so final answer will be ?

Answer 18

Always tempted

Answer 19

\[\frac{ 7a^2\sqrt{2} }{ 3 }\]

Answer 20

2a

Answer 21

2a
yes, correct! :)

Answer 22

wait, there's sqrt 3 too!

Answer 23

so
sqrt (6a)

Answer 24

right ?

Answer 25

I don't know, 6a where?