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3. Rationalisation
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Q8 of 51 Page 3

If x = 3+, find the value of x2+.

Given that


And given to find the value of


We have


The rationalising factor for denominator is


=


=



Also,



We know that,





= 36 - 2 = 34


The value of is 34.


More from this chapter

All 51 →
6

In each of the following determine rational numbers a and b.

(i) = a-b(ii)= a-


(iii) = a+b (iv) =a+b


(v) = a-b


(vi) =a+b

7

If x = 2+, find the value of x3 + .

9

Find the value of , it being given that = 1.732 and =2.236

10

Find the values of each of the following correct to three places of decimals, it being given that = 1.414, = 1.732, =2.236, = 2.4495 and = 3.162.

(i) (ii)

Questions · 51
3. Rationalisation
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