can anyonr give me 20 mathematical or physics formulas with radical sign?

Question

w/ examples pls

Answer 1

I can't give you 20 examples, and I can think of only two thus far.

The distance formula (between two points on a coordinate graph):

d = sqrt ( (x2 - x1)^2 + (y2 - y1)^2 )

The quadratic formula for f(x) = ax^2 + bx + c

x = [-b +/- sqrt(b^2 - 4ac)] / (2a)

Also, understand that ANY formula with a square value has the potential to use a radical. For instance, the Pythagorean Theorem states that a^2 + b^2 = c^2 for c being the hypotenuse of a right angle triangle, and a and b being the other sides, but, this breaks up into three:

a = sqrt (c^2 - b^2)
b = sqrt (c^2 - a^2)
c = sqrt(a^2 + b^2)

Then, there's the cosine law, which states that for any triangle with angles A, B, C and corresponding opposite sides a, b, c, that

a^2 = b^2 + c^2 - 2bc cosA

Which already has the potential to derive THREE formulas with radicals:

a = sqrt (b^2 + c^2 - 2bc cosA)
b = sqrt (a^2 - c^2 + 2bc cosA)
c = sqrt (a^2 - b^2 + 2bc cosA)

If these "spinoffs" count, there's 8 right there.

Answer 2

no