How do you rationalize the denominator and simplify $(3 sqrt 5 + 2) / (3 sqrt 5 + 5)$ ?

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How do you rationalize the denominator and simplify $(3 sqrt 5 + 2) / (3 sqrt 5 + 5)$ ?

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Answer 1 · 2016-03-13T10:59:59

$1/20(35-9sqrt5)$

Explanation:

multiplying by $3sqrt5-5$ on both numerator and denominator we get $( (3sqrt5+2)*(3sqrt5-5))/(45-25)$ = $((45-10-sqrt5(15-6))/20)$ = $1/20(35-9sqrt5)$ [answer]

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How do you rationalize the denominator and simplify $(3 sqrt 5 + 2) / (3 sqrt 5 + 5)$ ?

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How do you rationalize the denominator and simplify (3 sqrt 5 + 2) / (3 sqrt 5 + 5)(3 sqrt 5 + 2) / (3 sqrt 5 + 5)?

1 Answer

Explanation:

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How do you rationalize the denominator and simplify $(3 sqrt 5 + 2) / (3 sqrt 5 + 5)$ ?