Question

rationalise 6-4√2/6+4√2

Answer 1

(6-4√2)/(6+4√2)

Rationalising factor = 6-4√2

(6-4√2)/(6+4√2) × (6-4√2)/(6-4√2)

=(6-4√2)(6-4√2)/(6+4√2)(6-4√2)

=(6-4√2)²/(6²-(4√2)²)

=[6²+(4√2)²-2(6)(4√2)]/(36-16(2))

=(36+16(2)-48√2)/(36-32)

=(36+32-48√2)/4

=(68-48√2)/4

=68/4 - 48√2/4

= 17 - 12√2

Hope it helps

Answer 2

= 6-4√2 × 6-4√2 / 6+4√2× 6-4√2

= [(6)²-2(6)(4√2)+(4√2)²]/( 6)²-(4√2)²

=[36-48√2+16(2)]/36-16(2)

=36+32-48√2 /36-32

=98-48√2 /4

I hope it may be wright answer