Question

Ajutati-ma si pe mine la :
1. -9radical din 10 × 3radical din 2
2. -9radical din 10 : 3radical din 2
3. 3radical din 2 la puterea a 3

Answer 1

=========================

Answer 2

$a) \\ \\ - 9 \sqrt{10} \times 3 \sqrt{2} \\ \\ - 9 \times 3 \sqrt{10 \times 2} \\ \\ - 9 \times 3 \sqrt{20} \\ \\ - 9 \times 3 \times 2 \sqrt{5} = 54 \sqrt{5} \\ \\ b) \\ \\ - 9 \sqrt{10} : 3 \sqrt{2} \\ \\ - 9 \sqrt{10} \times \frac{1}{3} \sqrt{2} \\ \\ - 9 \times \frac{1}{3} \sqrt{10 \times 2} \\ \\ - 9 \times \frac{1}{3} \sqrt{20} \\ \\ - 9 \times \frac{1}{3} \times 2 \sqrt{5} = - 6 \sqrt{5} \\ \\ c) \\ \\ (3 \sqrt{2}) ^{3} = {3}^{3} \sqrt{2}^{3} = 27 \sqrt{2}^{3} = 27 \times 2 \sqrt{2}=54 \sqrt{2} \\ \\ 3( \sqrt{2})^{3} = 3 \sqrt{2}^{3} = 3 \times 2 \sqrt{2}=6 \sqrt{2}$