Question

√14700=√100x147=10√147 What is the mistake?

Answer 1

no mistake,its correct :)

Answer 2

The paper says to find the student's mistake/:

Answer 3

maybe middle step should be written as:
\[\sqrt{100X147}\]
but final answer is correct

Answer 4

The step \[\Large \sqrt{100}\sqrt{147}\] is missing, but it's not 100% critical to have (esp if you know what's going on)

Answer 5

147 = 3*49
So the student hasn't finished "simplifying"

Answer 6

\[\sqrt{14700} = \sqrt{100 \times 147} = 10\sqrt{147} = 10\sqrt{49 \times3} = 10\times 7 \sqrt{3} = 70\sqrt{3}\]

Answer 7

Thank you all!