Fractions and rootsI have this problem:18+98+50+422I'm able to get to this part by myself:152+222But that's when I get stuck. The book says that the next step is:15222+222But I don't understand why you can take the 2 out of the original fraction, make it the numerator of its own fraction and having root of 2 as the denominator of said fraction.

Question

Fractions and rootsI have this problem:18+98+50+422I&#039;m able to get to this part by myself:152+222But that&#039;s when I get stuck. The book says that the next step is:15222+222But I don&#039;t understand why you can take the 2 out of the original fraction, make it the numerator of its own fraction and having root of 2 as the denominator of said fraction.

anghoelv1lw · Accepted Answer

18+98+50+422=32+72+52+422=152+422Now the standard procedure is to remove the radical in the denominator:152+422=152+42222=152·2+4222·2=30+424=15+222One can do it differently: set&amp;nbsp;a=2, so you can write152+422=15a+a4a3=15+a3a2=15+222The final result can also be written by using&amp;nbsp;a+bc=ac+bc&amp;nbsp;so15+222=152+2Whether you want to do this last transformation depends on what you have to do with this number.

Madilyn Shah · Accepted Answer

To me the next obvious step is to remove the radical in the denominator so152+222=15+22.Personally I would stop there, but you could separate this into 152+22 or into 152+12 if you really wanted to.

Fractions and roots I have this problem: \(\displaystyle{\frac{{\sqrt{{{18}}}+\sqrt{{{98}}}+\sqrt{{{50}}}+{4}}}{{{2}\sqrt{{{2}}}}}}\) I'm able

Answered question

Answer & Explanation

New Questions in Pre-Algebra