Question

multiply and simplify :(2+5√5)(5+5√5)
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Answer 1

Solution :

(2 + 5√5)(5 +5√5)

By using identity (x + a)(x + b) = x² + (a + b)x + ab

Here,

• x = 5√5
• a = 2
• b = 5

›› (5√5)² + (2 + 5)5√5 + 2 × 5

›› 125 + 35√5 + 10

›› 35√5 + 135

Another Method :

(2 + 5√5)(5 + 5√5)

›› 2(5 + 5√5) + 5√5(5 + 5√5)

›› 10 + 10√5 + 25√5 + 125

›› 25√5 + 10√5 + 135

›› 35√5 + 135

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