Odpowiedź:
[tex]3. \: a) \: \sqrt{ {7}^{4} \times {4}^{2} } = {7}^{2} \times 4 = 49 \times 4 = 196 \\ b) \: \sqrt[3]{ {3}^{6} \times {10}^{3} } = {3}^{2} \times 10 = 9 \times 10 = 90[/tex]
[tex]c) \: \sqrt{ {5}^{4} \times {2}^{6} \times {7}^{2} } = {5}^{2} \times {2}^{3} \times 7 = 25 \times 8 \times 7 = 1400 \\ d) \: \sqrt[3]{ {3}^{3} \times {10}^{6} \times {2}^{9} } = 3 \times {10}^{2} \times {2}^{3} = 3 \times 100 \times 8 = 2400[/tex]
a)
√(7^4 * 4²) = 7² * 4 = 49 * 4 = 196
b)
∛(3^6 * 10³) = 3² * 10 = 9 * 10 = 90
c)
√(5^4 * 2^6 * 7²) = 5² * 2³ * 7 = 25 * 8 * 7 = 200 * 7 = 1400
d)
∛(3³ * 10^6 * 2^9) = 3 * 10² * 2³ = 3 * 100 * 8 = 3 * 800 = 2400
Szczegółowe wyjaśnienie:
