Question

resuelve:
a)
$2 \sqrt{20} + 3 \sqrt{8} - 5 \sqrt{45}$
b)
$\sqrt{3}( \sqrt{5} - 2 \sqrt{3} ) + (5 \sqrt{3} + \sqrt{5} ) \sqrt{5}$
ayuda!!! doy coronita​

Answer 1

Explicación paso a paso:

1.

$2 \sqrt{ 20 } +3 \sqrt{ 8 } -5 \sqrt{ 45 }$

$2\times 2\sqrt{5}+3\sqrt{8}-5\sqrt{45}$

$4\sqrt{5}+3\sqrt{8}-5\sqrt{45}$

$4\sqrt{5}+3\times 2\sqrt{2}-5\sqrt{45}$

$4\sqrt{5}+6\sqrt{2}-5\sqrt{45}$

$4\sqrt{5}+6\sqrt{2}-5\times 3\sqrt{5}$

$4\sqrt{5}+6\sqrt{2}-15\sqrt{5}$

$-11\sqrt{5}+6\sqrt{2}$

2.

$\sqrt{ 3 } ( \sqrt{ 5 } -2 \sqrt{ 3 } )+(5 \sqrt{ 3 } + \sqrt{ 5 } ) \sqrt{ 5 }$

$\sqrt{3}\sqrt{5}-2\left(\sqrt{3}\right)^{2}+\left(5\sqrt{3}+\sqrt{5}\right)\sqrt{5}$

$\sqrt{15}-2\left(\sqrt{3}\right)^{2}+\left(5\sqrt{3}+\sqrt{5}\right)\sqrt{5}$

$\sqrt{15}-2\times 3+\left(5\sqrt{3}+\sqrt{5}\right)\sqrt{5}$

$\sqrt{15}-6+\left(5\sqrt{3}+\sqrt{5}\right)\sqrt{5}$

$\sqrt{15}-6+5\sqrt{3}\sqrt{5}+\left(\sqrt{5}\right)^{2}$

$\sqrt{15}-6+5\sqrt{15}+\left(\sqrt{5}\right)^{2}$

$\sqrt{15}-6+5\sqrt{15}+5$

$6\sqrt{15}-6+5$

$6\sqrt{15}-1$

Me regalas el "mejor respuesta"? :3