Question

if(√5+3)^2=a+b√5 then what
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Answer 1

Answer:

(√5+3)²

= √5²+3²+2×3×√5 (using [(a+b)²= a²+b²+2ab] formula)

= 5+9+6√5

= 14 + 6√5

we know that,

(√5+3)² = a+b√5

therefore, 14 + 6√5 = a + b√5

so by equating the values of a & b,

we get,

a = 14,

b = 6

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