5v√ 75vw^2 + w√ 27v^3

simplify

Question

5v√ 75vw^2 + w√ 27v^3

simplify

anonymous · Answer

anybody know?

campbell_st · Answer

simplify both radicals... 

$$5v \sqrt{25w^2 \times 3v} + w \sqrt{9v^2 \times 3v}$$

this can be written as 

$$5v \sqrt{25w^2} \times \sqrt{3v} + \sqrt{9v^2} \times \sqrt{3v}$$

hopefully this helps... 

you can take the square root of the perfect squares... and you'll be teft with the same radical that can be added.

anonymous · Answer

im lost as heck bro

campbell_st · Answer

ok... so I split 75vw^2 into 2 perfect squares    25 x 3 = 75
                                                                       v x w^2 = vw^2

        so 75 vw^2 can be written as 25w^2 x 3v

does that make sense...?

anonymous · Answer

ya

campbell_st · Answer

ok... so you are happy to take the square root of 25w^2..?

the same thing has been donw with the 2nd radical 27 = 9 x 3
                                                                              v^3 = v^2 x v

so 27v^3 = 9v^2 x 3v 

take the square root of 9v^2..... the 3v in both cases will remain in the radical.