rationalise the denominator of 5/√3-√5
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To rationalise, multiply and divide the fraction with with √3 + √5.
= 5(√3+√5) / (√3-√5)(√3+√5)
(Remember (a-b)(a+b) = a²- b²
= 5(√3+√5) / (√3² - √5²)
= 5(√3+√5) / (9 - 25)
= 5√3 + 5√5 / -16
The denominator is rationalised.
= 5(√3+√5) / (√3-√5)(√3+√5)
(Remember (a-b)(a+b) = a²- b²
= 5(√3+√5) / (√3² - √5²)
= 5(√3+√5) / (9 - 25)
= 5√3 + 5√5 / -16
The denominator is rationalised.
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