express √50 + 6/√3 in the form of a√2 + b√3 , where a and b are integers.?

Question

im stuck.

= √5x25 + 6/√3
= 5√2 + 6/√3

.............. now i dont know what to do for 6/√3

Answer 1

= √(25 x 2) + 6.√3 / 3
= 5.√2 + 2.√3
Note
The part that was causing you bother was
6 / √3
The method is to multiply top and bottom by √3
as shown in the answer.

Answer 2

multiply the second term by √3/√3 (which =1)

5√2 + 6/√3*(√3/√3)
=5√2 + 6√3/√9 => √9=3
=5√2 + 2√3

Answer 3

6/√3=6/√3 * √3/√3
=6√3/3
=2√3

Therefore
√50 + 6/√3
=5√2+2√3
a=5, b=2

Answer 4

you want 6 / √3 to be equal to x*√3

6/√3 = x*√3

Multiplying it out gives

6 = x*√3*√3 = 3x

therefore x = 2

Answer 5

6/root three:

mutiply top and bottom by root three to get 6 root three/3 so the secon term becomes 2 root three