Question

2.Scoateti factorii de sub radical. Repede va rog. ​

Answer 1

Explicație pas cu pas:

a)

$= \sqrt{4 \cdot 9 + 3 \cdot \sqrt{ {24}^{2} } } = \sqrt{36 + 3 \cdot 24} = \sqrt{36 + 72} = \sqrt{108} = \sqrt{ {2}^{2} \cdot {3}^{3} } = 6 \sqrt{3}$

b)

$= \sqrt{8 + 4 \cdot \sqrt{ {18}^{2} } }= \sqrt{8 + 4 \cdot 18} = \sqrt{8 + 72} = \sqrt{80} = \sqrt{ {2}^{4} \cdot 5} = 4 \sqrt{5}$

c)

$= \sqrt{16 + 2 \sqrt{ {17}^{2} } } = \sqrt{16 + 2 \cdot 17} = \sqrt{16 + 34} = \sqrt{50} = \sqrt{2 \cdot {5}^{2} } = 5 \sqrt{2}$

d)

$= \sqrt{36 + 3 \sqrt{ {16}^{2} } } = \sqrt{36 + 3 \cdot 16} = \sqrt{36 + 48} = \sqrt{84} = \sqrt{ {2}^{2} \cdot 3 \cdot 7} = 2 \sqrt{21}$