Question

√180
√147
√40
√99
Scoaterea factorilor de sub radica

Answer 1

$\sqrt{180} = \sqrt{2^2 \cdot 2^3 \cdot 5} =2 \cdot 3 \cdot \sqrt{5} =6 \sqrt{5} \\ \sqrt{147} = \sqrt{7^2 \cdot 3} =7 \sqrt{3} \\ \sqrt{40} = \sqrt{2^3 \cdot 5} = \sqrt{2^2 \cdot 2 \cdot 5} = \sqrt{2^2} \cdot \sqrt{2 \cdot 5} =2 \sqrt{2 \cdot 5} = 2 \sqrt{10} \\ \sqrt{99} = \sqrt{3^2\cdot 11} =3 \sqrt{11}$