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What is 3 square root of 45 minus 3 square root of 5?
3*sqrt(45) - 3*sqrt(5) =3*sqrt(9*5) - 3*sqrt(5) = 3*sqrt(9)*sqrt(5) - 3*sqrt(5)= 3*3*sqrt(5) - 3*sqrt(5) (taking the principal root)= 9*sqrt(5) - 3*sqrt(5) = 6*sqrt(5)
What is 14 radical 20 minus 3 radical 125?
14*sqrt(20) - 3*sqrt(125) = 14*sqrt(4*5) - 3*sqrt(25*5) = 14*sqrt(4)*sqrt(5) - 3*sqrt(25)*sqrt(5) = 14*2*sqrt(5) - 3*5*sqrt(5) = 28*sqrt(5) - 15*sqrt(5) = 13*sqrt(5)
How do you find the value of x if x root 2 divided by 5 minus root 3 equals 5 plus root 3?
x*sqrt(2)/{5 - sqrt(3)} = {5 + sqrt(3)} => x*sqrt(2) = {5 + sqrt(3)} * {5 - sqrt(3)} = 25 - 3 = 22 => x = 22/sqrt(2) = 22*sqrt(2)/{sqrt(2)*sqrt(2)} = 22*sqrt(2)/2 = 11*sqrt(2)
Does irrational closed under all fundamental operations?
No.[5 + sqrt(3)] + [1 - sqrt(3)] = 6 is rational[5 + sqrt(3)] - [1 + sqrt(3)] = 4 is rational[5 + sqrt(3)] * [5 - sqrt(3)] = 22 is rationalsqrt(8)/sqrt(2) = +/- 2 is rational.
What is the tangent of 12 degrees?
=(sqrt(3)*(3-sqrt(5))-sqrt(50-22*sqrt(5)))/2
