Question

Find the square root by prime factorisation method 6860.

Answer 1

• Answer:

14√35

• 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

`√(6860)=√(10*686)=√(10*343*2)=√(5*2*343*2)=√(5*2*7*49*2)=√(5*2*7*7*7*2)=√(2*2*7*7*5*7) =2*7√(5*7) =14√(35)`