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# Is it possible to simplify this?

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Is it possible to simplify 5+sqrt(19)+sqrt(147/8)

May 23, 2021

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5+sqrt(19)+sqrt(147/8)

$$5+\sqrt{19}+\sqrt{\frac{147}{8}}\\~\\ 5+\sqrt{19}+\sqrt{\frac{147}{4*2}}\\~\\ 5+\sqrt{19}+\frac{1}{2}\sqrt{\frac{147}{2}}\\~\\ 5+\sqrt{19}+\frac{1}{2}\sqrt{\frac{147}{2}}\frac{\sqrt2}{\sqrt2}\\~\\ 5+\sqrt{19}+\frac{1}{2}\frac{\sqrt{147}}{\sqrt2}\frac{\sqrt2}{\sqrt2}\\~\\ 5+\sqrt{19}+\frac{1}{2}\frac{\sqrt{147*2}}{2}\\~\\ etc$$

That is not finished.  If you go to the 'HOME' page on this site you will find a calculator.

Type in  factor(147)   then press equals, you will get the factors of 147 and you can simplify some more.