Answer:
B) √15 - 3
Step-by-step explanation:
The given expression is 2√3 / (√5 + √3)
Since we have radical expression in the denominator, we have to multiply both the numerator and the denominator by the conjugate of (√5 + √3).
The conjugate of (√5 + √3) is (√5 - √3)
= [tex]\frac{2\sqrt{3} }{\sqrt{5} + \sqrt{3} } * \frac{\sqrt{5}-\sqrt{3} }{\sqrt{5} - \sqrt{3} }[/tex]
=[tex]\frac{2\sqrt{3} (\sqrt{5} -\sqrt{3}) }{\sqrt{5}^2 - \sqrt{3}^2 }[/tex]
= (2√3*√5 -2*3) ÷ (5 - 3)
= (2√15 - 6) ÷ 2
= 2(√15 - 3) ÷2
= √15 - 3
Answer: B) √15 - 3
Thank you.
