1.

Simplify -

Answer»

▪︎■ ANSWER ■▪︎

To simplify a SURD, write the NUMBER under the root sign as the product of two factors, one of which is the largest PERFECT square.

\rightarrow\bf\underline{Solution}

\sqrt[8]{5} + \sqrt{20} - \sqrt{125} \\ = \sqrt[8]{5} + \sqrt{4 \times 5} - \sqrt[]{25 \times 5} \\ = \sqrt[8]{5} + \sqrt[2]{5} - \sqrt[5]{5} \\ = (8 + 2 - 5) \sqrt{5} \\ = \sqrt[5]{5}\\ \\\therefore \bf Your \: Answer \: is \: \boxed{ \sqrt[5]{5} }

\longrightarrow Note - the factor 16 is the largest perfect square. Recall that the numbers 1, 4, 9, 16, 25, 36, 49, ... are perfect SQUARES.


Discussion

No Comment Found

Related InterviewSolutions