Subtract (7 sqrt 6) - (3 sqrt 150)?

c) , -8sqrt(6)

Since 7sqrt(6) - (3sqrt(150))

= 7sqrt(6) - 15sqrt(6)

= -8sqrt(6)

Answer is c)

7√(6)-3√(150)
=7√(6)-3 √(25*6)
= 7 √(6)-3*5√(6)
=7√6-15√6
=-8√6 answer//

Answer is c.-8sqrt 6

Subtract (7 sqrt 6) - (3 sqrt 150)?

7√6 – 3√150 = 7√6 – 15√6 = –8√6

a. 4 sqrt 6
b. -2 sqrt 6
c. -8 sqrt 6 .............................. correct answer
d. 8 sqrt 6

150=2x3x5x5
\/'''150'''''=5\/'''6'''''
7\/'''6'''''' - 15\/'''6''''=-8\/'''6''''
God bless you.

7(sq rt 6) - 3(sq rt 150).

The sq rt 150 = (sq rt 25)(sq rt ) = 5(sq rt 6). Put that back into your original equation for the square root of 150.

7(sq rt 6) - 3(5)(sq rt 6) =

7(sq rt 6) - 15(sq rt 6). If you have 7a - 15a what would be the answer? - 8a. So in your problem:

Answer: - 8(sq rt 6). C.

c. -8 sqrt 6

ANSWER : -8 sqrt 6

WORKING :
(7 sqrt 6) - (3 sqrt 150)
= 7 sqrt 6 - 3 sqrt ( 25 x 6 )
= 7 sqrt 6 - 3 sqrt ( 25 ) x sqrt ( 6 )
= 7 sqrt 6 - 5 x 3 sqrt ( 6 )
= 7 sqrt 6 - 15 sqrt ( 6 )
= ( 7 - 15 ) x sqrt ( 6 )
= -8 sqrt 6

7√6 - 3√150
= 7√6 - 3√(2 * 3 * 5^2)
= 7√6 - 3(5)√(2 * 3)
= 7√6 - 15√6
= -8√6
(answer c)

You need this simplification:

√150 = 5√6

Can you complete the subtraction now ? You can do it. You must do it.

QED

[- 8√6]

-8 sqrt 6
:-)