simplify the radical exspression

Question

megannn · Answer

attachment

lgbasallote · Answer

where are you getting confused here?

megannn · Answer

i got

megannn · Answer

i just wanna see if im correct @lgbasallote

lgbasallote · Answer

i dont think that's right

lgbasallote · Answer

$$\sqrt{180h^4} = \sqrt{36 \times h^2 \times h^2 \times 5}$$
does that help?

megannn · Answer

im confused now

nali · Answer

still need help?

megannn · Answer

@Nali yes please

anonymous · Answer

$$\sqrt{180h^4}=\sqrt{6\times 6\times h^2 \times h^2 \times 5}=6h^2 \sqrt{5}$$

nali · Answer

ok when u simplify a rational expression u r looking for perfect squares such as

4=2x2
9=3x3
16=4x4

megannn · Answer

@nphuongsun93 thank you . that explains it better !

nali · Answer

ok so u get it

megannn · Answer

@Nali yes i do. thanks though !

nali · Answer

ur welcome

megannn · Answer

@Nali actually that is'nt right. could you explain please

nali · Answer

yes do u see my first comment about the perfect squares

megannn · Answer

@Nali Yes

lgbasallote · Answer

it's just missing a -3 there

lgbasallote · Answer

should be $$-3 \times 6h^2 \sqrt 5$$

nali · Answer

ok from there 

in ur question we are trying to find for 180 a perfect square that it can be break into 

such as 

180 divided by 4 = 45

180 divided by 36= 5

do u see where iam going with this

lgbasallote · Answer

what they said a while ago was just $$\sqrt{180h^4}$$

nali · Answer

@megannn do u get his explainition

megannn · Answer

@Nali yess i see, and no i dont get the other explanation

nali · Answer

so do u want me to continue?

megannn · Answer

yes please. i want to know the steps of it

nali · Answer

ok so 

lets leave the h for a second 

i just want u to understand the steps 

 $$\sqrt{180}= \sqrt{36}\sqrt{35}$$

$$\sqrt{180}=6 times \sqrt{5} $$

$$\sqrt{180}= 6 \sqrt{5}$$

do u get what i am doing?

nali · Answer

in the first step i meant this 

$$\sqrt{180}= \sqrt{36}\sqrt{5}$$ not 35

nali · Answer

@megannn

megannn · Answer

okay i get it , at first i didnt get it because you said 35

nali · Answer

ok so i will continue with the h

megannn · Answer

okay.

nali · Answer

$$\sqrt{180}= 6\sqrt{5h ^{4}}= 6\sqrt{5h ^{2}h^{2}}$$

Now u know how when theris an x^2 under a squreroot it becumes only x

megannn · Answer

thats what i came up with

nali · Answer

yes that is one step away form the correct answer

nali · Answer

do u want me to show u why

megannn · Answer

sure ! @Nali

nali · Answer

leaving the numbers out to make it easier

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