Question

Q11. Rationalize the denominator of 1/ 7-2​

Answer 1

Answer:

1/√7 - 2We need to multiply the numerator and denominator of 1/√7 - 2 by √7 + 2 to get1/√7 - 2 x √7 + 2/√7 + 2 = √7 + 2/√7 - 2√7 + 2We need to apply the formula a - ba + b = a2 - b2 in the denominator to get1/√7 - 2 = √7 + 2/√72 - 22= √7 + 2/7 -4= √7 + 2/3Therefore we conclude that on rationalizing the denominator of 1/√7 - 2 we get √7 + 2/3.