6√ 50 - 2√ 18+ 2√ 8 =

30√ 2 - 6√2 + 4 √ 2 = 28 √ 2

The simplification of 6*√50 = 6*√10*5 (because 10 * 5 = 50); but 10 can be separated into 2*5 = 10. * 5 = 50.

So 6√2*5*5 - note: that 5*5 = 25 and √25 = 5!

=

6*5 * √2

for (-)2√18 :

-2√18 = √9*2 = (-2)* 3*√2 *= -6√2 !

and last one for +2√8:

2√4*2 = 2*2√2 (because √4 = 2 and *√2 for result √8)

solution=

30√2 - 6√2 + 4√2

30 - 6 + 4 = 28√2

6√50 simplifies to 30√2

2√18 simplifies to 6√2

2√8 simplifies to 4√2

the equation is now 30√2-6√2+4√2=?

there is a like term under the square root symbol so you may add and subtract these numbers normally, resulting in an answer of 28√2

6√ 50 - 2√ 18 + 2√ 8

= 6√ (25*2) - 2√ (9*2) + 2√ (4*2)

= 30√ 2 - 6√ 2 + 4√ 2

= (30 - 6 + 4)√ 2

= 28√ 2

6√50 - 2√18 + 2√8

= 6√(25)2 - 2√9(2) + 2√4(2)

= 6(5)√2 - 2(3)√2 + 2(2)√2

= 30√2 - 6√2 + 4√2

= 28√2