6/√6. Rationalise the denominator and hence evaluate by taking √2 = 1.414, √3 = 1.732 and √5 = 2.236, upto three places of decimal
Solution:
Given, the expression is 6/√6
We have to rationalise the denominator and evaluate the given expression.
To rationalise we have to take conjugate,
6/√6 = 6/√6 × √6/√6
= 6√6/6
= √6
= √3 × √2
Given, √2 = 1.414
√3 = 1.732
So, √3 × √2 = 1.732(1.414)
= 2.449
Therefore, 6/√6 = 2.449
✦ Try This: Rationalise the denominator of the following and hence evaluate by taking √2 = 1.414, √3 = 1.732 and √5 = 2.236, upto three places of decimal 5/√5
Given, the expression is 5/√5
We have to rationalise the denominator and evaluate the given expression.
To rationalise we have to take conjugate,
5/√5 = 5/√5 × √5/√5
= 5√5/5
= √5
Given, √5 = 2.236
Therefore, 5/√5 = 2.236
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 1
NCERT Exemplar Class 9 Maths Exercise 1.3 Problem 13(ii)
6/√6. Rationalise the denominator and hence evaluate by taking √2 = 1.414, √3 = 1.732 and √5 = 2.236, upto three places of decimal
Summary:
On rationalising the denominator and evaluating the expression 6/√6 by taking √2 = 1.414, √3 = 1.732 and √5 = 2.236, we get 2.449
☛ Related Questions:
- (√10 - √5)/2. Rationalise the denominator and hence evaluate by taking √2 = 1.414, √3 = 1.732 and √5 . . . .
- √2/(2 + √2). Rationalise the denominator and hence evaluate by taking √2 = 1.414, √3 = 1.732 and √5 . . . .
- 1/(√3 + √2). Rationalise the denominator and hence evaluate by taking √2 = 1.414, √3 = 1.732 and √5 . . . .
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