Question

help?
-1/2 sqrt 5 + 2 sqrt 125

Answer 1

\[-\frac{ 1 }{ 2 } \sqrt{5} + 2 \sqrt{125}\]

Answer 2

hint: √125 = 5 √5

Answer 3

doesnt 5 x 25 = 125 though?

Answer 4

yes
and √( 5 X 25) = √5 X √25 = 5√5

Answer 5

oh okay i understand that

Answer 6

so it becomes
-0.5 √5 + 2*5√5

can you finish this off?

Answer 7

i think so hold on

Answer 8

now treat the √5 as if it it were a variable like x

Answer 9

yeah i dont think i got it right. i got 47.5

Answer 10

its - √5 + 10 √5 = 9.5 √5

Answer 11

thats ok for your answer theres no need to work this out any further
do u see what i mean about treating the surd (i.e. sqrt5) as an 'x'.

Answer 12

yeah i believe so

Answer 13

* - 0.5 √5

Answer 14

-0.5x + 10x = 9.5x

Answer 15

ok?