Question

Find the rational values of a and b if √2-√5 = a + b√10 /√2+√5​

Answer 1

Step-by-step explanation:

Given (3+√5)/(3-√5) = a+b√5

(3+√5)(3+√5)/(3-√5)(3+√5) = a+b√5

(9+6√5+5)/(9–5) = a+b√5

(14+6√5)/4 = a+b√5

7/2 + 3√5/2 = a+b√5

Hence a= 7/2 and b= 3/2.

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