Question

solving for b

Answer 1

HI!!

Answer 2

you got an equation?

Answer 3

Post your question :)

Answer 4

\[\sqrt{\frac{ b^{4} }{ 25 }} = 4 \]

Answer 5

would you square both sides?

Answer 6

Square both sides first :)

Answer 7

Exactly!

Answer 8

does it help to know that \(\sqrt{25}=5\)?

Answer 9

so \[\frac{b ^{4} }{ 25 } = 16\]

Answer 10

and \(\sqrt{b^4}=b^2\)? i wouldn't square anything at all

Answer 11

and also \(\large\sqrt{b^4}=b^{4\times \frac{1}{2}}=b^2\)

Answer 12

i would start with
\[\frac{b^2}{5}=4\] so
\[b^2=20\]

Answer 13

if you do it the other way you are going to have to spend a lot of time writing the answer in simplest radical form
this way you get the answer in one step

Answer 14

so its b^2/ 5 ?

Answer 15

@ayyyyyyyyy25
I'll let @misty1212 take it from here. :)

Answer 16

yes
\[\frac{b^2}{5}=4\\
b^2=20\] now take the square root of both sides

Answer 17

don't forget the \(\pm\)

Answer 18

\[\pm 2\sqrt{5}\]