Question

reduced a problem to 8.66, teacher is looking for simplest radical form. Ideas?

Answer 1

I can't say for sure, but that sounds like \[\Large \frac{\sqrt{3}}{2} \approx 0.866\]

but you multiply by 10 to move the decimal over 1 spot

\[\Large \frac{10\sqrt{3}}{2} \approx 8.66\]

\[\Large 5\sqrt{3} \approx 8.66\]

I would need to see the full problem to be sure though

Answer 2

It is a triangle with a hypotenuse of 10 and shorter leg of 5, by Pythagorean theorem, the answer is 8.66. If you use 30-60-90 angle theorem the answer is 5√3. Sent these answers to the teacher and she asked for simplest radical form

Answer 3

so \[\Large 5\sqrt{3}\] is the answer she wants

Answer 4

if you use the pythagorean theorem you get

a^2 + b^2 = c^2
x^2 + 5^2 = 10^2
x^2 + 25 = 100
x^2 = 100-25
x^2 = 75
x = sqrt(75)
x = sqrt(25*3)
x = sqrt(25)*sqrt(3)
x = 5*sqrt(3)

which is the same answer as stated above

Answer 5

thank you!