Question

http://media01.owotw.com/o_alg02_2011/7/q1p14.gif

Answer 1

@jim_thompson5910 help i need the answer please

Answer 2

how can you simplify \[\Large \sqrt{20}\]

Answer 3

Combine and simplify the following radical expression.

Answer 4

can you factor 20 into two numbers where one of them is a perfect square?

Answer 5

2root 5

Answer 6

@iiforgot

Answer 7

yep, \[\Large \sqrt{20} = 2\sqrt{5}\]

Answer 8

do the same with the other roots

Answer 9

then combine like terms

Answer 10

root 45 answer is 3root five

Answer 11

keep going

Answer 12

root 80 answer is 4 root 5 but do not combine like terms help

Answer 13

so you have

sqrt(20) = 2*sqrt(5)

sqrt(45) = 3*sqrt(5)

sqrt(80) = 4*sqrt(5)

Answer 14

yes

Answer 15

but i need the answer please

Answer 16

multiply then combine like terms

think of something like

2*sqrt(5) + 3*sqrt(5) as 2z + 3z

Answer 17

so bad to multiply

Answer 18

\[\Large 2\sqrt{20} + 8\sqrt{45} - \sqrt{80}\]


\[\Large 2*2\sqrt{5} + 8*3\sqrt{5} - 4*\sqrt{5}\]


\[\Large 4\sqrt{5} + 24\sqrt{5} - 4*\sqrt{5}\]


\[\Large (4 + 24 - 4)*\sqrt{5}\]


\[\Large 24\sqrt{5}\]

Answer 19

So

\[\Large 2\sqrt{20} + 8\sqrt{45} - \sqrt{80} = 24\sqrt{5}\]