Respuesta :
Answer:
[tex]3\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{3} \times \sqrt{6}\\\\\mathrm{Factor\:integer\:}6=3\times\:2\\=\sqrt{3}\times\sqrt{3\times\:2}\\\\\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}\\\\\sqrt{3\times\:2}=\sqrt{3}\times\sqrt{2}\\\\=\sqrt{3}\times\sqrt{3}\times\sqrt{2}\\\\\mathrm{Apply\:radical\:rule}:\\\quad \sqrt{a}\times\sqrt{a}=a\\\\\sqrt{3}\times\sqrt{3}=3\\\\=3\sqrt{2}[/tex]
Answer:
3√2
Step-by-step explanation:
√3x6 = √18
√18 = √9x2 (√9 and √2)
√9 = 3
√2 = stays as root 2 as you cannot square root 2.
Therefore, answer is 3√2.
Hope this helps! :)