Question

XAMPLE 5
Simplify: (2 + √3)(3 + √15)
solve it step by step .
plz ​

Answer 1

$(2 + \sqrt{3} )(3 + \sqrt{15} ) \\ = 2(3 + \sqrt{15} ) + \sqrt{3} (3 + \sqrt{15} )\\ = 6 + 2 \sqrt{15} + 3 \sqrt{3} + \sqrt{45} \\ = 6 + 2 \sqrt{15} + 3 \sqrt{3} + \sqrt{9 \times 5} \\ = 6 + 2 \sqrt{15} + 3 \sqrt{3} + 3 \sqrt{5} \\ = 6 + 2 \sqrt{15} + 3 \sqrt{15} \\ = 6 + 5 \sqrt{15}$