Find the values of a and b in each of the following (7 + √5)/(7 – √5) – (7 – √5)/(7 + √5) = a + (7/11)√5b

Question

TextRationalisation of Irrational Denominators

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If both a & b are rational numbers, find the values of a & b:

Find the values of a and b in each of the following (5 + 2√3)/(7 + 4√3) = a – 6√3

Rationalisation of Irrational Denominators

After rationalising the denominator of 1/√2, we get

It is given that √3 = 1.732, √5 = 2.236, √6 = 2.449 and √10 = 3.162, find upto three places of decimal (3 + √5)/(3 – √5).

Simplify: 7√3/(√10 + √3) – 2√5/(√6 + √5) – 3√2/(√15 + 3√2).

Rationalise the denominator of 1/√2.