Question

(3+√2)(4+√7) simplify the following question and answer is12+3√7

Answer 1

$(3 + \sqrt{2} )(4 + \sqrt{7} ) \\ = 3(4 + \sqrt{7} ) + \sqrt{2} (4 + \sqrt{7} ) \\ = 12 + 3 \sqrt{7} + 4 \sqrt{2} + (\sqrt{7})( \sqrt{2} ) \\ = 12 + 3 \sqrt{7} + 4 \sqrt{2} + \sqrt{14}$

Answer 2

(3 + √2)(4 +√7) = 3(4 +√7) + √2(4 +√7)

= 12 + 3√7 + 4√2 +√2×√7

= 12 + 3√7 + 4√2 +√14