1) \sqrt{0,81 \cdot 400} 2) \sqrt{\frac{25}{36}} 3) \sqrt{1\frac{9}{16}} 4) \sqrt{10\cdot 250} 5) \sqrt{4,9\cdot 360}

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Accepted Answer

1) $$\sqrt{0,81 \cdot 400} = \sqrt{0,81} \cdot \sqrt{400} = 0,9 \cdot 20 = 18$$
2) $$\sqrt{\frac{25}{36}} = \frac{\sqrt{25}}{\sqrt{36}} = \frac{5}{6}$$
3) $$\sqrt{1\frac{9}{16}} = \sqrt{\frac{16+9}{16}} = \sqrt{\frac{25}{16}} = \frac{\sqrt{25}}{\sqrt{16}} = \frac{5}{4} = 1\frac{1}{4} = 1,25$$
4) $$\sqrt{10 \cdot 250} = \sqrt{2500} = 50$$
5) $$\sqrt{4,9 \cdot 360} = \sqrt{49 \cdot 36} = \sqrt{49} \cdot \sqrt{36} = 7 \cdot 6 = 42$$