Question

Divide and then simplify the radical

Answer 1

B) √15 - 3

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)

=
`(2√(3) )/(√(5) + √(3) ) * (√(5)-√(3)  )/(√(5) - √(3) )`

=
`(2√(3) (√(5) -√(3))  )/(√(5)^2 - √(3)^2  )`

= (2√3*√5 -2*3) ÷ (5 - 3)

= (2√15 - 6) ÷ 2

= 2(√15 - 3) ÷2

= √15 - 3

Answer: B) √15 - 3

Thank you.