Rationalization of the Denominator Part 1: 4 Examples (1 of 2)

Rationalization of the Denominator Part 1. Four Examples.

Prove the following:

(1) √{[125(m^5)]/[29(c^7)(h^5)(t^3)]} = {5(m^2)[√(145mcht)]}/[29(c^4)(h^3)(t^2)],
(2) cube root of {[5(m^2)(c^4)]/[7(m^7)(c^9)]} = [cube root of (245mc)]/[7(m^2)(c^2)],
(3) 1/(√7-1) = (√7+1)/6, (4) 17/(√34-√17) = √34+√17.

Each and every example must prove the given equations, respectively. All four examples here have radicals in its denominator and we must rationalize it, in other words, to make each and every denominators free from any radicals.

Watch the entire video to see the solution.

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