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Write (5-√5) (5-√5) in the form a+b√5, where a and b are integers.

User Allegria
by
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1 Answer

11 votes

Answer:

30 - 10
√(5)

Explanation:

(5 -
√(5) )(5 -
√(5) )

each term in the second factor is multiplied by each term in the first factor.

5(5 -
√(5) ) -
√(5) (5 -
√(5) ) ← distribute both parenthesis

= 25 - 5
√(5) - 5
√(5) + 5 ← collect like terms

= 30 - 10
√(5)

User EKelvin
by
3.9k points