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Question
Simplify the following using multiplication and division properties of surds:
`(7sqrt("a") - 5sqrt("b")) (7sqrt("a") + 5sqrt("b"))`
Solution
`(7sqrt("a") - 5sqrt("b")) (7sqrt("a") + 5sqrt("b"))` ...[using a2 – b2 = (a + b) (a – b)]
`(7sqrt("a") - 5sqrt("b")) (7sqrt("a") + 5sqrt("b")) = (7sqrt("a"))^2 - (5sqrt("b"))^2`
= 49a – 25b
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