Samacheer Kalvi 9th Maths Solutions Chapter 2 Real Numbers Ex 2.7

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Tamilnadu Samacheer Kalvi 9th Maths Solutions Chapter 2 Real Numbers Ex 2.7

Question 1.
Rationalise the denominator
Samacheer Kalvi 9th Maths Chapter 2 Real Numbers Ex 2.7 1
Solution:
Samacheer Kalvi 9th Maths Chapter 2 Real Numbers Ex 2.7 2

Question 2.
Rationalise the denominator and simplify
Samacheer Kalvi 9th Maths Chapter 2 Real Numbers Ex 2.7 3
Solution:
Samacheer Kalvi 9th Maths Chapter 2 Real Numbers Ex 2.7 4
Multiply the numerator and denominator by the rationatising factor (\(\sqrt{27}\) + \(\sqrt{18}\))
Samacheer Kalvi 9th Maths Chapter 2 Real Numbers Ex 2.7 5
Samacheer Kalvi 9th Maths Chapter 2 Real Numbers Ex 2.7 6
Samacheer Kalvi 9th Maths Chapter 2 Real Numbers Ex 2.7 7

Question 3.
Find the value of a and b if \(\frac{\sqrt{7}-2}{\sqrt{7}+2}=a \sqrt{7}+b\).
Solution:
Samacheer Kalvi 9th Maths Chapter 2 Real Numbers Ex 2.7 8

Samacheer Kalvi 9th Maths Solutions Chapter 2 Real Numbers Ex 2.7

Question 4.
If x = \(\sqrt{5}\) + 2 , then find the value of \(x^{2}+\frac{1}{x^{2}}\) .
Solution:
If x = \(\sqrt{5}\) + 2
Samacheer Kalvi 9th Maths Chapter 2 Real Numbers Ex 2.7 9

Question 5.
Given \(\sqrt{2}\) = 1.414, find the value of \(\frac{8-5 \sqrt{2}}{3-2 \sqrt{2}}\) (to 3 places of decimals).
Solution:
Samacheer Kalvi 9th Maths Chapter 2 Real Numbers Ex 2.7 10

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