Question

Realiza las operaciones indicadas y simplifica:
1) $6 \sqrt{7} +4 \sqrt{7}$
2) $9 \sqrt{13} -4 \sqrt{13}$
3)$\sqrt{32} + \sqrt{50} - \sqrt{72}$
4) $9 \sqrt{48} -5 \sqrt{27} +3 \sqrt{12}$
5) $\frac{ \sqrt{ x^{2} } }{ \sqrt{18} }$
6)$\sqrt\frac{ x^{4} }{20}$

Answer 1

1) 6+4√7 =10√7
2)9-4√13 =5√13
3)√2⁵ + √2×5² + √2³×3² = 2²√2 + 5√2 + 2×3√2 = 15√2
4)9√2⁴×3 - 5√3³ + 3√2²×3 = 9×2²√3 - 5×3√3 + 3×2√3 = 27√3
5)$\sqrt{\frac{x^{2} }{ 18 }}$ = $\sqrt{\frac{x^{2} }{ 3^{2} \\ 2 }}$ = $\frac{x}{3} \sqrt{ \frac{1}{2} }$ = $\frac{x}{3} \frac{1}{ \sqrt{2} }$
6)$\sqrt{\frac{x^{4} }{ 2^{2} \\ 5 }}$ = $\frac{ x^{2} }{2} × \sqrt{ \frac{1}{5} }$ = $\frac{ x^{2} }{2} × \frac{1}{ \sqrt{5} }$