Express each one of the following with rational denominator:
(i)
(ii)
(iii)![]()
(iv)
(v)
(vi)
(vii)
(viii)
(ix)![]()
(i) we have
rationalising factor of denominator is 3-√2


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(ii) we have
rationalising factor of denominator is ![]()
= ![]()

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(iii) we have
rationalising factor of denominator is ![]()
= ![]()
= ![]()
=![]()
(iv) we have
rationalising factor of ![]()
= ![]()
= ![]()
= ![]()
=![]()
(v) we have
rationalising factor of ![]()


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(vi) we have
rationalising factor of ![]()

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(vii) we have
rationalising factor of ![]()

= ![]()
Because; ![]()
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(viii) we have
rationalising factor of ![]()


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(ix) we have
rationalising factor of ![]()

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