What is sqrt((49/81)/(16/100)) ?

The solution to sqrt((49/81)/(16/100)) is 35/18

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simplify sqrt((49/81)/(16/100))

simplify

\frac{\frac{49}{81}}{\frac{16}{100}}

\frac{35}{18}

Decimal Notation

1.94444 \dots

Solution steps

\frac{\frac{49}{81}}{\frac{16}{100}}

Apply radical rule:

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

= \frac{\frac{49}{81}}{\frac{16}{100}}

\frac{49}{81} = \frac{7}{9}

= \frac{\frac{7}{9}}{\frac{16}{100}}

\frac{16}{100} = \frac{2}{5}

= \frac{\frac{7}{9}}{\frac{2}{5}}

Apply the fraction rule:

\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a \cdot d}{b \cdot c}

= \frac{7 \cdot 5}{9 \cdot 2}

Multiply the numbers:

7 \cdot 5 = 35

= \frac{35}{9 \cdot 2}

Multiply the numbers:

9 \cdot 2 = 18

= \frac{35}{18}

ln (e) 2

\frac{88}{3}

(6 x^{2} - 2 x + 5) - (2 x^{2} - 7 x - 11)

- 2 x^{3} + 3 x^{2}

\frac{3}{4} - \frac{1}{2} \div \frac{6}{7}

What is sqrt((49/81)/(16/100)) ?
The solution to sqrt((49/81)/(16/100)) is 35/18