Okay I forgot how to add fractions when the denominators are different. And then one its all added I need to find the square root of it to find the trig functions. Here's my problem : 9/16 + 25/36
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To add fractions find the common denominator:
Note that 16 = 2 * 2 * 2 * 2
and 36 = 2 * 2 * 3 * 3
therefore you need 2^4 * 3^2 = 144 for the LCD
Build the fractions: 9(9)/16*9 + 25(4)/36(4) = 81/144 + 100/144
Add the numerators and keep the denominator: 181/144
now take the square root of the numerator and the denominator:
sqrt(181/144) = sqrt(181)/12
Note that 16 = 2 * 2 * 2 * 2
and 36 = 2 * 2 * 3 * 3
therefore you need 2^4 * 3^2 = 144 for the LCD
Build the fractions: 9(9)/16*9 + 25(4)/36(4) = 81/144 + 100/144
Add the numerators and keep the denominator: 181/144
now take the square root of the numerator and the denominator:
sqrt(181/144) = sqrt(181)/12