Question

Simplify, Assume all variables are positive.
squrt245p^2q^5r

I need help with this problem I don't really get the processes can any one do this out please

Answer 1

use the equation button below to type out your question clearly.
|
|
|
v

Answer 2

\[\sqrt{245p^2q^5r}\]

Answer 3

\[=\sqrt{7^2\times 5\times p^2\times q^5\times r}\]
\[=\sqrt{7^2}\times \sqrt{p^2}\times \sqrt{q^4}\times \sqrt{5qr}\]
\[=7pq^2\sqrt{5qr}\]

Answer 4

\[\sqrt{252p^2q^9r}\]

Answer 5

right now how did you get those answers.

Answer 6

by the definition of square root

Answer 7

which is?

Answer 8

\[\sqrt{p^2} = p\]

Answer 9

gimmick is to find all the perfect squares inside the radical, and pull them out. so if you see
\[\sqrt{50}\] you think
\[\sqrt{2\times 25}=5\sqrt{2}\]

Answer 10

and if you see
\[\sqrt{x^5}\] you think
\[\sqrt{x^4\times x}=x^2\sqrt{x}\]

Answer 11

Perfect thanks!