Question

simplify the following ​

Answer 1

Rationalise the denominator the three terms in the sum separately as taking Lcm would make it complex and after that sum them.

• 7root3.(root10-root3)÷(10-3)-2root5(root6-root5)÷(6-5)-3root2(root15-root18)÷(15-18)
• 7root30+21)÷7-(2root30+10)÷1-(3root30+18)÷-3
• Root30+3-2root30-10+root30+6
• 9-10
• -1

In many questions there will not be the root 30 type term like in this question that will cancel at last so for easy simplification make the term in the root as small as possible like root 18=3root2.