Question

Which of the following numbers are located between 6 and 8 on the number line

Answer 1

square root 14 = 3.74

3+3.74 = 6.74 is between 6 and 8
so answer is A.

Answer 2

A)
$3+\sqrt{14}$

$\sqrt9<\sqrt{14}<\sqrt{16}\\\\ 3<\sqrt{14}<4$
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$(3+3)<(3+\sqrt{14})<(3+4)\\\\ 6<(3+\sqrt{14})<7$
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$3+\sqrt{14}>6 \\\\ 3+\sqrt{14}<7$

Answer A