advanced Math help?

Question

the square root of((1+cos30)/2)



hope you guys understand what i mean

Answer 1

As you said "Advanced Math Help" I assume you need to be working with exact values.

√((1+cos30)/2)
ok, the exact value of cos 30 is √3 / 2
so we have:
√((1+√3 /2)/2)
√(1/2 + (√3/2/2))
√(1/2+ (√3/2 x 2))
√(1/2+(2√3 /2))
√((1+2√3)/2)
square roots can also be represented as ^1/2
therefore:
((1+2√3)/2)^1/2 [top and bottom ^1/2]
((1+2√3)^1/2)/√2
√(1+2√3)/√2

I hope this has kind of made a good amount of sense so far, I am assuming you know most of the working seeing as you asked a question like this

Now I don't know about you but for us was have to rationalise the denominator (i.e. no square root sign on the bottom)

To rationalise the denominator multiply what we have by √2/√2 (that is equal to one so by doing this we don't change the actual number but it does rationalise the bottom.)

(√(1+2√3)/√2) x √2/√2
(√(1+2√3) x √2) / 2

I hope you followed my working. It's hard to put in square root signs and to divide things with normal keyboard signs...

I hope this helped a bit!

Answer 2

√ [(1 + cos 30° ) / 2 ]

= √ [(1 + √3/2 ) / 2 ]

=√ [1.866 / 2 ]

= 0.966