Question

Simplify 6-4√5 ÷6+4√5

Answer 1

here is your answer. please mark it brainleist

Answer 2

Hi.

Question,

==> (6 - 4√5)/(6 + 4√5)

Rationalising the denominator we have,

==> (6 - 4√5)/(6 + 4√5) X (6 - 4√5)/(6 - 4√5)

==> (6 - 4√5)² / (6)² - (4√5)² ............{Using the identity (a + b)(a - b) = a² - b²}

==> (6 - 4√5)² / 36 - 80

==> (6 - 4√5)² / -44

==> (6)² - 2(6)(4√5) + (4√5)² / -44

==> 36 - 48√5 + 80 / -44

==> 116 - 48√5 / -44

==> 58 - 24√5 / -22

==> (24√5 - 29) / 11

Is the required answer.