Question

simplify sqr(500x^5 y^7) please help

Answer 1

We have
\[\sqrt{500x^5 y^7}\]
@AbbeyD16 tell me what's \(\sqrt {a^2}\)?

Answer 2

dont know :s

Answer 3

do you know how to find root?

Answer 4

no

Answer 5

just a minute

Answer 6

ok

Answer 7

okay, do you know the square of 2??
\[2^2\]
???

Answer 8

yeah ok

Answer 9

What is it?

Answer 10

4?

Answer 11

good:)

Answer 12

so just you have square of a number, we also have root of a number.
You squared 2 to get 4
so the root of 4 is 2, do you get my point?

Answer 13

yes

Answer 14

so could you tell me root of 16
\[\sqrt{16}\]??

Answer 15

its 4

Answer 16

good :)
similarly we have square and roots of variables like
square of x is x^2
so root of x^2 is?

Answer 17

x?

Answer 18

great:D
so what's the root of x^4?

Answer 19

x^2

Answer 20

Till now, we had easy cases. But sometimes roots are not found directly
like 8
\[8=2^3\]
here root is not easy
\[\sqrt 8=\sqrt{2^2\times 2}\]
do you get this?

Answer 21

@AbbeyD16

Answer 22

yea i got the concept :)

Answer 23

great so in these cases we;ll try to simplify the powers which are multiples of 2 and leave the others in the root
\[\sqrt{8}=\sqrt{2^2\times 2}=2\sqrt 2\]
this is the simplified form of root 8
do you get this?

Answer 24

yea i understand

Answer 25

sorry my net is slow