Question

Вычислить
1) √49•25;
2) √0,01•169;
3) √625•9•36;
4) √256•0,25-81​

Answer 1

$\sqrt{49 \times 25} = \sqrt{ {7}^{2} \times {5}^{2} } = 7 \times 5 = 35$

$\sqrt{0.01 \times 169} = \sqrt{ {0.1}^{2} \times {13}^{2} } = 0.1 \times 13 = 1.3$

$\sqrt{625 \times 9 \times 36} = \sqrt{ {25}^{2} \times {3}^{2} \times {6}^{2} } = 25 \times 3 \times 6 = 450$

$\sqrt{256 \times 0.25 \times 81} = \sqrt{ {16}^{2} \times {0.5}^{2} \times {9}^{2} } = 16 \times 0.5 \times 9 = 72$