What is sqrt((3(-3+\sqrt{33)))/2+15} ?

The solution to sqrt((3(-3+\sqrt{33)))/2+15} is sqrt((21+3\sqrt{33))/2}

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simplify sqrt((3(-3+\sqrt{33)))/2+15}

simplify

\frac{3 ( - 3 + 33 )}{2} + 15

\frac{21 + 3 33}{2}

Decimal Notation

4.37228 \dots

Solution steps

\frac{3 ( - 3 + 33 )}{2} + 15

Convert

15

to fraction

: \frac{30}{2}

= \frac{3 ( - 3 + 33 )}{2} + \frac{30}{2}

\frac{3 ( - 3 + 33 )}{2} + \frac{30}{2} = \frac{3 ( - 3 + 33 ) + 30}{2}

= \frac{3 ( - 3 + 33 ) + 30}{2}

Simplify

3 (- 3 + 33) + 30 : 21 + 333

= \frac{21 + 3 33}{2}

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\frac{x ^{2}}{( x + 1 ) ( x - 1 )}

What is sqrt((3(-3+\sqrt{33)))/2+15} ?
The solution to sqrt((3(-3+\sqrt{33)))/2+15} is sqrt((21+3\sqrt{33))/2}