Rationalise the denominators of the following.
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Step-by-step explanation:
1) 1/√7
: (1 × √7)/(√7 × √7)
: √7
2) 1/√7 - √6
: (1 × (√7 + √6))/(√7 - √6)× (√7 + √6)
: √7 + √6
3) 1/√5 + √2 = √5 - √2/3
4) 1/√7 - 2 = √7 + 2/3
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explanation:
1. 1/√7 multiply√7/√7
= √7/(√7)square
=√7/7
2. 1 /√7-√6 multiply √7-√6 /√7-√6
=√7-√6 / (√7-√6)square
=√7-√6 / 7-6
=√7-√6 / 1
3. 1/√5+√2 multiply √5+√2/√5+√2
=√5+√2 / (√5+√2) square
=√5+√2 /5+2
=√5+√2 / 7
4. 1/√7-2 multiply√7-2/√7-2
=√7-2/(√7-2) square
=√7-2 / 7-4
=√7-2 / 3
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