Question

Select the expression equal to ³√250.

2³√125
125³√2
2³√5
5³√2

Answer 1

What do you thinK?

Answer 2

hint: find a perfect cube which is a factor of 250

Answer 3

@raffle_snaffle @cwrw238 Is it #1?

Answer 4

³√250. = ³√( 2 * 125)

Answer 5

Is it B? I don't completely understand.

Answer 6

³√( 2 * 125) = ³√ 2 * ³√ 125

Answer 7

whats the cube root of 125?

Answer 8

@cwrw238 5

Answer 9

Factors of 250:
1,2,5,10,25,50,125,250
Perfect cubes:
1,8,27,64,125,216,343
Factors of 250 that is also perfect cubes:
1,125

Answer 10

Therefore we need to express 250 as 2x125

Answer 11

\[\Large\sqrt[3]{250}=\sqrt[3]{2\times125}=\sqrt[3]2\times\sqrt[3]{125}=5\sqrt[3]2\]

Answer 12

thats it

Answer 13

Oh okay, I get it now. Thanks @kc_kennylau and @cwrw238 :)

Answer 14

no problem at all :)