Rationalise the denominator for√15-3/√10-3
I will assume you mean
(√15-3)/(√10-3) , those brackets are critical
= (√15-3)/(√10-3) * (√10+3)/(√10+3)
= (√150 -3√15 - 3√10 - 9)/1
= 5√6 + 3√15 - 3√10 - 9
(√15-3)/(√10-3) , those brackets are critical
= (√15-3)/(√10-3) * (√10+3)/(√10+3)
= (√150 -3√15 - 3√10 - 9)/1
= 5√6 + 3√15 - 3√10 - 9