What is (3+sqrt(90))/9 ?

The solution to (3+sqrt(90))/9 is (1+sqrt(10))/3

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simplify (3+sqrt(90))/9

simplify

\frac{3 + 90}{9}

\frac{1 + 10}{3}

Decimal Notation

1.38742 \dots

Solution steps

\frac{3 + 90}{9}

90 = 310

= \frac{3 + 3 10}{9}

Factor out common term

3 : 3 (1 + 10)

= \frac{3 ( 1 + 10 )}{9}

Factor the number:

9 = 3 \cdot 3

= \frac{3 ( 1 + 10 )}{3 \cdot 3}

Cancel the common factor:

3

= \frac{1 + 10}{3}

- 98 (64)^{\frac{11}{6}}

0.5 \cdot (1 - \frac{0.46}{2}) \cdot (1 - 0.46)^{2 - 2}

\frac{5 ^{2}}{9 ^{2}}

1 x \leq 2