Question

cat face radical din 196000?

Answer 1

$\sqrt{196000} = \sqrt{2 \times 2 \times 2 \times 2 \times 2 \times 5 \times 5 \times 5 \times 7 \times 7} \\ \\ \sqrt{(2 \times 2) \times (2 \times 2) \times (5 \times 5) \times (7 \times 7) \times 2 \times 5} \\ \\ \sqrt{ {2}^{2} \times {2}^{2} \times {5}^{2} \times {7}^{2} \times 2 \times 5 } = (2 \times 2 \times 5 \times 7) \sqrt{2 \times 5} = 140 \sqrt{10}$

Answer 2

√(196000) = √2²×√7²×√10³ = 2 × 7 × 10√10 = 140√10