Question

. ayudenme por favor ​

Answer 1

Respuesta:

A. $\frac{6}{\:\sqrt{2}}$ =$3\sqrt{2}\quad \left(\mathrm{Decimal:\quad }\:4.24264\dots \right)$

B.$\frac{\sqrt{3}}{3\sqrt{6}}=\frac{1}{3\sqrt{2}}\quad \left(\mathrm{Decimal:\quad }\:0.23570\dots \right)$

C.$\frac{3}{2\sqrt[3]{2}}=\frac{3\cdot \:2^{\frac{2}{3}}}{4}\quad \left(\mathrm{Decimal:\quad }\:1.19055\dots \right)$

D.$\frac{-\sqrt{2}}{6}=-\frac{1}{\sqrt{2}\cdot \:3}\quad \left(\mathrm{Decimal:\quad }\:-0.23570\dots \right)$

Explicación paso a paso:

A.$\frac{6}{\sqrt{2}}$

$=\frac{2\cdot \:3}{\sqrt{2}}$

$=\frac{\sqrt{2}\sqrt{2}\cdot \:3}{\sqrt{2}}$

$=\sqrt{2}\cdot \:3$

$=3\sqrt{2}$

B.$\frac{\sqrt{3}}{3\sqrt{6}}$

$=\frac{\sqrt{3}}{\sqrt{3}\sqrt{3}\sqrt{6}}$

$=\frac{1}{\sqrt{3}\sqrt{6}}$

$=\frac{1}{3\sqrt{2}}$

C.$\frac{3}{2\sqrt[3]{2}}$

$=\frac{3\cdot \:2^{\frac{2}{3}}}{2\sqrt[3]{2}\cdot \:2^{\frac{2}{3}}}$

$=\frac{3\cdot \:2^{\frac{2}{3}}}{4}$

D.$\frac{-\sqrt{2}}{6}$

$=\frac{-\sqrt{2}}{\sqrt{2}\sqrt{2}\cdot \:3}$

$=\frac{-\sqrt{2}}{\sqrt{2}\sqrt{2}\cdot \:3}$

$=\frac{-1}{\sqrt{2}\cdot \:3}$

$=-\frac{1}{\sqrt{2}\cdot \:3}$