simplify the radical expression :

i'll post the expression.

Question

simplify the radical expression :

i'll post the expression.

mxddi3 · Answer

$$-4\sqrt{252x^3y}$$
@jhonyy9

jhonyy9 · Answer

please try write the 252 in the form of a product of a square number and a number

mxddi3 · Answer

$$\sqrt{252} = \sqrt{36}*\sqrt{7}$$

this simplifies to $$6*\sqrt{7}$$ right?

jhonyy9 · Answer

yes

mxddi3 · Answer

ok, so then the $$\sqrt{x^3} $$
how do you do that?

jhonyy9 · Answer

rewrite the x^3 like a product of a square and a term of x

mxddi3 · Answer

so it breaks down to $$\sqrt{x^2} * \sqrt{x}$$

and the sqrt of x^2 is just x

and if you have $$\sqrt{x}$$ do you just leave it like that? 
as $$x \sqrt{x}$$ ??

jhonyy9 · Answer

perfect

mxddi3 · Answer

so do you do the same with the y? you take the sqrt  and it's left as $$\sqrt{y}$$??

jhonyy9 · Answer

yes with this y not can make nothing

mxddi3 · Answer

ok so we have 6sqrt7, x^2,sqrt x, and sqrt y.

we multiply the -4 and the 6 now?

jhonyy9 · Answer

no

x^2 was inside radical when go out how will be ?

mxddi3 · Answer

yeah my bad, i meant to say x, and then sqrt x

jhonyy9 · Answer

yes - so at the end how will be ?

mxddi3 · Answer

how will it be when you multiply the -4 also? is that what you're asking?

jhonyy9 · Answer

yes multiplie the -4 by 6 = ?

mxddi3 · Answer

-24

jhonyy9 · Answer

exactly - so what is the problem there ?

mxddi3 · Answer

i think i got it.

$$-24x \sqrt{7xy}$$

jhonyy9 · Answer

BRAVO

hope you understand it now sure clearly

mxddi3 · Answer

thank you so much!!

jhonyy9 · Answer

yw anytime my pleasure