Question

Find the square root by prime factorisation method 6860.

Answer 1

• Answer:

14√35

• Step-by-step explanation:

√6860 =

= √686×10

= √686×2×5

= √343×2×2×5

= √49×7×2²×5

= √7²×7×2²×5

= 7×2√7×5

= 14√35

Answer 2

$\sqrt{6860}=\sqrt{10*686}=\sqrt{10*343*2}=\sqrt{5*2*343*2}=\sqrt{5*2*7*49*2}=\sqrt{5*2*7*7*7*2}=\sqrt{2*2*7*7*5*7} =2*7\sqrt{5*7} =14\sqrt{35}$