129k views
0 votes
Can someone help me simplify? I need help

Can someone help me simplify? I need help-example-1
User Samik R
by
6.4k points

1 Answer

4 votes

Answer:

13+7√3

Explanation:

The denominator will be rational when it is multiplied by the opposite ± expression, called the conjugate.


(5 + √(3))/(2-√(3))


= \frac{5 + √(3)} {2-√(3)} X (2+√(3))/(2+√(3)) Multiplying by 1 does not change the number. (It equals 1 because the numerator and denominator are the same).


= \frac{(5 + √(3))(2+√(3))} {(2-√(3))(2+√(3))}}


= (10 + 5√(3) + 2√(3)+3 )/(4 - 2√(3)+ 2√(3)-3) Distribute over brackets


= (13 + 7√(3) )/(4 -3) Combine like terms


= (13 + 7√(3) )/(1)


= 13 + 7√(3)

User Jenay
by
5.8k points