Question

Rationalise the denominator of each of the following :-
$1) 3 \div 2 \sqrt{5}$
$2) \: 1 \div \sqrt{12}$
$3) \sqrt{} {2 \div \sqrt{5} }$



$4) \: 3 \: \div \sqrt{5}$
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Answer 1

Step-by-step explanation:

(i) 3/2√5 = 3 × √5/ 2√5×√5

= 3√5/2×5

= 3√5/10

(ii) 1/√2 = 1×√2/√2×√2

= √2/2

(iii) √2/√5 = √2×√5/√5×√5

= √10/5

(iv) 3/√5 = 3×√5/√5×√5

= 3√5/5

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