\(7\sqrt{3} - \frac{17\sqrt{2}}{3}\)
\(7\sqrt{2} - \frac{17\sqrt{3}}{3}\)
\(-7\sqrt{2} + \frac{17\sqrt{3}}{3}\)
\(-7\sqrt{3} - \frac{17\sqrt{2}}{3}\)
Correct answer is B
Given \(\frac{8 - 3\sqrt{6}}{2\sqrt{3} + 3\sqrt{2}}\),
first, we rationalise by multiplying through with \(2\sqrt{3} - 3\sqrt{2}\) (the inverse of the denominator).
\((\frac{8 - 3\sqrt{6}}{2\sqrt{3} + 3\sqrt{2}})(\frac{2\sqrt{3} - 3\sqrt{2}}{2\sqrt{3} - 3\sqrt{2}})\)
= \(\frac{16\sqrt{3} - 24\sqrt{2} - 18\sqrt{2} + 18\sqrt{3}}{4(3) - 6\sqrt{6} + 6\sqrt{6} - 9(2)}\)
= \(\frac{34\sqrt{3} - 42\sqrt{2}}{-6} = 7\sqrt{2} - \frac{17\sqrt{3}}{3}\)
A particle is acted upon by forces F = (10N, 060º), P = (15N, 120º) and Q = (12N, 200º...
If \(f(x) = 2x^{2} - 3x - 1\), find the value of x for which f(x) is minimum....
Solve: 4sin\(^2\)θ + 1 = 2, where 0º < θ < 180º...
A fair coin is tossed 3 times. Find the probability of obtaining exactly 2 heads. ...
Find the fifth term in the binomial expansion of \((q + x)^7\)....
A body is acted upon by forces \(F_{1} = (10 N, 090°)\) and \(F_{2} = (6 N, 180°)\). Find th...
If V = plog\(_x\), (M + N), express N in terms of X, P, M and V...
Face 1 2 3 4 5 6 Frequency 12 18 y 30 2y 45 Given the table abov...