Question

What is the exact value of the square root of 24 over 2 the square root of 64.? Simplify if possible.

Answer 1

\[\sqrt{24} \over 2\sqrt{64}\] is what the original equation looks like

Answer 2

64=8*8
24 = 8*3
now you can cancel terms and solve

Answer 3

\[\huge \frac{\sqrt{24}}{2\sqrt{64}}\]

where \(\large \sqrt{64}=\sqrt{8^2}=8\)

we get,

\[\huge \frac{\sqrt{24}}{2 \times 8}\]
\[\huge \frac{\sqrt{24}}{16}\]

Answer 4

now simplify it

Answer 5

@glacher

Answer 6

dont do it hes trying to trick you

Answer 7

okay... so it would be \[2\sqrt{6} \over 16\]

Answer 8

its a trap

Answer 9

you are going good. @glacher

Answer 10

thank you @mayankdevnani very much!
im usally good at math... but im not to good at Algebra 1

Answer 11

now,
\[\huge \frac{2\sqrt{6}}{16}\]
and 2 cancel out 16 by 8, we get
\[\huge \frac{\sqrt{6}}{8}\]

Answer 12

now simplify it

Answer 13

How can you simplify any further? @mayankdevnani ?

Answer 14

we can write \(\large \sqrt{6}\) as approximate 2.44

now, plug this value , we get
\[\huge \frac{\sqrt{6}}{8}=\frac{2.44}{8}=0.305\]

This is our approximate answer.

Answer 15

This is how we can simplify it. @skullpatrol

Answer 16

hope you understand. @glacher

Answer 17

I do very much!! @mayankdevnani

Answer 18

good...