Question

simplify (2 root 5 - 3 root 3) (3 root 5+2 root 3)​

Answer 1

Answer:

(2^5-3^3)(3^5+2^3)

multiplication--

2^5(3^5+2^3)-3^3(3^5+2^3)

2^5*3^5+2^5*2^3-3^3*3^5+3^3+2^3

6^5+2^8-3^8+6^3

7776+256-6561+216

1687 is it your answer it's clear ok

Answer 2

Step-by-step explanation:

$(2 \sqrt{5} - 3 \sqrt{3} )(3 \sqrt{5} + 2 \sqrt{3} ) \\ = 2 \sqrt{5} \times 3 \sqrt{5} + 2 \sqrt{5} \times 2 \sqrt{3} - 3 \sqrt{3} \times 3 \sqrt{5} - 3 \sqrt{3} \times 2 \sqrt{3} \\ = 6 \times 5 + 4 \sqrt{15} - 9 \sqrt{15} - 6 \times 3 \\ = 30 - 5 \sqrt{15} - 18 \\ = 12 - 5 \sqrt{15}$