How do you simplify $\sqrt{325} - \sqrt{117}$ $sqrt325-sqrt117$ ?

Question

1651 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-09-27T02:23:48

Refer to explanation

We have that

$\sqrt{117} = \sqrt{3^{2} \cdot 13} = 3 \cdot \sqrt{13}$ $sqrt117=sqrt(3^2*13)=3*sqrt13$

$\sqrt{325} = \sqrt{5^{2} \cdot 13} = 5 \cdot \sqrt{13}$ $sqrt325=sqrt(5^2*13)=5*sqrt13$

Hence

$\sqrt{325} - \sqrt{117} = 2 \sqrt{13}$ $sqrt325-sqrt117=2sqrt13$

How do you simplify sqrt325-sqrt117√325−√117sqrt325-sqrt117?