Simplify the following expression (√3 + 1)(1 – √12) + 9/(√3 + √12) OR Express 0.123̄ in the form of p/q, q ≠ 0, p and q are integers.

Question

TextConversion of Decimal to Rational FormRationalisation of Irrational DenominatorsNCERT Exemplar

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

The sum of 0.3̄ and 0.4̄ is

Conversion of Decimal to Rational Form

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

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

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).