Question

Dau coroană +inima.!!!!

Answer 1

$\sqrt{45} = \sqrt{3 \times 3 \times 5} = \sqrt{(3 \times 3) \times 5} = \sqrt{ {3}^{2} \times 5 } = 3 \sqrt{5}$

$\sqrt{32} = \sqrt{2 \times 2 \times 2 \times 2 \times 2} = \sqrt{(2 \times 2) \times (2 \times 2) \times 2} = \sqrt{ {2}^{2} \times {2}^{2} \times 2 } = (2 \times 2) \sqrt{2} = 4 \sqrt{2}$

$\sqrt{72} = \sqrt{2 \times 2 \times 2 \times 3 \times 3} = \sqrt{(2 \times 2) \times (3 \times 3) \times 2} = \sqrt{ {2}^{2} \times {3}^{2} \times 2 } = (2 \times 3) \sqrt{2} = 6 \sqrt{2}$

$\sqrt{48} = \sqrt{2 \times 2 \times 2 \times 2 \times 3} = \sqrt{(2 \times 2) \times (2 \times 2) \times 3} = \sqrt{ {2}^{2} \times {2}^{2} \times 3 } = (2 \times 2) \sqrt{3} = 4 \sqrt{3}$

$\sqrt{1800} = \sqrt{2 \times 2 \times 2 \times 3 \times 3 \times 5 \times 5} = \sqrt{(2 \times 2) \times (3 \times 3) \times (5 \times 5) \times 2} = \sqrt{ {2}^{2} \times {3}^{2} \times {5}^{2} \times 2 } = (2 \times 3 \times 5) \sqrt{2} = 30 \sqrt{2}$