√ 5(√ 8 + √ 2) Can be written as "a√ 10". What is the value of a?

First expand the given expression √ 5(√ 8+√ 2) = √ 40 + √ 10 Now get it in the format where it has √ 10 in it. √ 40 + √ 10 = √ 4√ 10 + √ 1√ 10 and simplify this as you would in algebra by collecting like terms. 2√ 10 + 1√ 10 = 3√ 10. So a=3