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katrin2010 [14]
4 years ago
10

Find the square root by prime factorisation method 6860.

Mathematics
2 answers:
dimulka [17.4K]4 years ago
7 0
  • Answer:

<em>14√35</em>

  • Step-by-step explanation:

<em>√6860 =</em>

<em>= √686×10</em>

<em>= √686×2×5</em>

<em>= √343×2×2×5</em>

<em>= √49×7×2²×5</em>

<em>= √7²×7×2²×5</em>

<em>= 7×2√7×5</em>

<em>= 14√35</em>

wariber [46]4 years ago
7 0

\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}

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