Question

7√3/(√10+√3) -2√5/(√6+√5) -3√2/(15+3√2)

Answer 1

Step-by-step explanation:

7√3/(√10+√3)-2√5/(√6+√5)-3√2/(15+3√2)

=(7√3/√10+√3×√10-√3/√10-√3)-(2√5/√6+√5×√6-√5/√6-√5)-(3√2/15+3√2×15-3√2/15-3√2)

=[7√3(√10-√3)/(√10)² - (√3)²]-[2√5(√6-√5)/(√6)²-(√5)²]-3√2(15-3√2)/(15)² - (3√2)²

=(7√30+7×3/10-3)-(2√30+2×5/6-5)-(45√2+9×2/225-9×2)

=(7√30+21/7)-(2√30+10/1)-(45√2+19/225-18)

=7√30+21/7 - 2√30+10/1 - 45√2+19/207