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ANSWER:

[14/07, 8:27 AM] [email PROTECTED]: Find the VALUES of a and b if 7+3√5 7-3√5 - 3+ √5 3-√5 =a+√5b

We have

7+3√5 7-3√5 3+√5 3-√5 = (7+ 3√5) (3-√5) (3+√5) (3-√5) (7-3√5) (3+√5) X (3-√5) (3+√5)

= 7(3-√5) + 3√5(3-√5) 7(3+√5)-3√5(3 + √5) (3+√5) (3-√5) (3-√5) (3+√5)

[14/07, 8:28 AM] [email protected]: (21-7√5 +9√5-15) (21+7√5-9√5-15)

(3+√5) (3-√5) (3-√5) (3+√5)

(6+2√5) (6-2√√5) (9-5) (9-5)

6+2√5 4 (6-2√5) 4

6+2√5-6+2√5 4

= 4√5 4


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