( √(5) )/( √(5) + 2) express surd fraction with rational denominator

asked Jun 23, 2024 106k views

5 votes

express surd fraction with rational denominator

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3 votes

Answer:

Explanation:

We will rationalize the denominator:

(√(5) )/(√(5) +2) =(√(5) )/(√(5) +2) * (√(5) -2)/(√(5) -2)

=(√(5) (√(5) -2))/((√(5) +2)(√(5) -2))

=(5-2√(5) )/(5-2√(5) +2√(5) -4)

=(5-2√(5) )/(1)

=5-2√(5)

Thomastuts answered Jun 28, 2024