Question

Simplify (√3-√2)(√3 +√2).
Use this to compute 1/(√3-√2) and 1/(√3 +√2) correct to two
decimal places​

Answer 1

Answer:

Page No 3.14:

Question 1:

Rationalise the denominator of each of the following (i-vii):

(i) 35√

(ii) 325√

(iii) 112√

(iv) 2√5√

(v) 3√+12√

(vi) 2√+5√3

(vii) 32√5√

ANSWER:

(i) We know that rationalization factor for is. We will multiply numerator and denominator of the given expression by, to get

Hence the given expression is simplified to.

(ii) We know that rationalization factor foris. We will multiply numerator and denominator of the given expression by, to get

Hence the given expression is simplified to.

(iii) We know that rationalization factor for is. We will multiply numerator and denominator of the given expression by, to get

Hence the given expression is simplified to.

(iv) We know that rationalization factor for is. We will multiply numerator and denominator of the given expression by, to get

Hence the given expression is simplified to.

(v) We know that rationalization factor for is. We will multiply numerator and denominator of the given expression by, to get

Hence the given expression is simplified to.

(vi) We know that rationalization factor for is. We will multiply numerator and denominator of the given expression by, to get

Hence the given expression is simplified to.

(vii) We know that rationalization factor for is. We will multiply numerator and denominator of the given expression by, to get

Hence the given expression is simplified to.

Answer 2

Answer:

• the value of (√3 - √2) correcting to two places = 3.15
• the value of (√3 + √2) correcting to two places = 0.32