Question

I got the answer of square root 3 * square root 2, but I need the most simplified answer. so, should I make it square root 6?

Answer 1

Ok, here we have a right triangle so, we can use trigonometric ratios, in this case we could use the sine or the cosine since we know all the angles and a leg, and we need to find the hypotenuse. We choose to use the sine:

`\sin (45)=\frac{\sqrt[]{3}}{x}`
`\frac{\sqrt[]{2}}{2}=\frac{\sqrt[]{3}}{x}`

So, we are going to clear x:

`x=\frac{\sqrt[]{3}\cdot2}{\sqrt[]{2}}=\sqrt[]{6}`