What is (1+2/7)*sqrt(\sqrt{16/81)} ?

The solution to (1+2/7)*sqrt(\sqrt{16/81)} is 6/7

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simplify (1+2/7)*sqrt(\sqrt{16/81)}

simplify

(1 + \frac{2}{7}) \cdot \frac{16}{81}

\frac{6}{7}

Decimal

0.85714 \dots

Solution steps

(1 + \frac{2}{7}) \frac{16}{81}

1 + \frac{2}{7} = \frac{9}{7}

= \frac{9}{7} \frac{16}{81}

\frac{16}{81} = \frac{4}{9}

= \frac{9}{7} \frac{4}{9}

Apply radical rule:

\frac{a}{b} = \frac{a}{b}, a \geq 0, b \geq 0

\frac{4}{9} = \frac{4}{9}

= \frac{9}{7} \cdot \frac{4}{9}

4 = 2

= \frac{9}{7} \cdot \frac{2}{9}

9 = 3

= \frac{9}{7} \cdot \frac{2}{3}

\frac{9}{7} \cdot \frac{2}{3} = \frac{6}{7}

= \frac{6}{7}

(- 15)^{2}

e^{- 2 t} cos (4 t)

e^{- 2 t} cos (3 t)

3 y^{2} \cdot 5 y

\frac{- 15}{3}

What is (1+2/7)*sqrt(\sqrt{16/81)} ?
The solution to (1+2/7)*sqrt(\sqrt{16/81)} is 6/7