Question

Simplify the rational expression please help and explain with me?√125h^4
choices
a.5h^2√5
b.25h^2√5
c.h√62.5
d.5√5h^4

Answer 1

I have a idea what to do but the power of 4 makes me get lost,

Answer 2

look at the problem this way

\[\sqrt{5 \times 25 \times h^2 \times h^2}\]

which terms can you take the square root of..?

Answer 3

25 would be 5 and wouldn't h^2 and h^2 be crossed out? still new to this

Answer 4

well 25 to 5 is correct

h^2 goes to h when you take the square root

so the problem can be rewritten as

\[\sqrt{5} \times \sqrt{25} \times \sqrt{h^2} \times \sqrt{h^2} = \sqrt{5} \times 5 \times h \times h\]

just simplify it

Answer 5

you get the same as you had before= right?if to solve it

Answer 6

well it has been simplified now... all you need to do is tidy up the answer so it matches one of your choices

Answer 7

and how would you go about doing this?

Answer 8

ok... in bits

\[\sqrt{5} \times 5 = 5 \sqrt{5}\]

what does

\[h \times h =\]

Answer 9

25 and h^2?

Answer 10

h^2 is correct

so its now

\[5 \times \sqrt{5} \times h^2 = 5 \times h^2 \times \sqrt{5}\]

rememeber when muliplying, the order doesn't matter

Answer 11

can you square root 5 though is that even possible?

Answer 12

ok... the solution in correct but in algebra will normally don't write the multiplication signs when writing a term...

so how can you rewrite

\[5 \times h^2 \times \sqrt{5}\]

Answer 13

so wouldn't the answer be 5h^2√5?

Answer 14

just write it without the multiplication signs

Answer 15

that's correct

Answer 16

\( \sqrt{5} \) is theoretically possible... but it is not a "nice" number
2.236067977499789696409173668731276235440618359611525724270897245410520925637804899414414408378782275...
it goes on forever (ugh!)