Question

Simplify (2 +root 3) (3+root5)

Answer 1

(2+√3)(3+√5)

→ 2(3+√5) + √3(3+√5)

→ 6+2√5 + 3√3+√15

Hope it helps

Answer 2

The answer is 6 + 2√5 + 3√3 + √15

GIVEN

Mathematical expression;

(2+√3)(3+√5)

TO FIND

(a+b)(c+d) = a(c+d) +b(c+d)

$(2 + \sqrt{3} )(3 + \sqrt{5} ) = 2 (3 + \sqrt{5} ) + \sqrt{3} (3 + \sqrt{5} )$

= 6 + 2√5 + 3√3 + √15

Since the above expression cannot be simplified further,

Hence, The answer is 6 + 2√5 + 3√3 + √15

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