Question

: (14✓112)/ (28✓7) in its simplest form is equal to A 2,B 3, C 8, D 5​

Answer 1

Answer :

(A) 2. is the right answer.

Explanation :

Simplification of (14√112)/(28√7)

$\sf:\longmapsto{ \frac{14 \sqrt{112} }{28 \sqrt{7} } } \: \: \: \: \: \: \: \\ \\\sf:\longmapsto{ \frac{14 \sqrt{16 \times 7} }{28 \sqrt{7} } }$

We know √16 = 4

$\sf:\longmapsto{ \frac{14(4) \sqrt{7} }{28 \sqrt{7} } } \\ \\ \sf:\longmapsto{ \frac{56 \: \cancel{ \sqrt{7}} }{28 \: \cancel{ \sqrt{7}} } } \: \: \: \: \: \\ \\ \sf:\longmapsto{ \cancel{ \frac{56}{28} }} \: \: \: \: \: \: \: \: \: \\ \\ \bf:\longmapsto \red{2} \: \: \: \: \: \: \: \: \: \: \:$

Hence 2 is the correct answer.

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