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Find the value of 1447×1412×7196\tfrac{\sqrt{144}}{7}×\tfrac{14}{12}×\tfrac{7}{\sqrt{196}}7144​​×1214​×196​7​.​
Question

Find the value of 1447×1412×7196\tfrac{\sqrt{144}}{7}×\tfrac{14}{12}×\tfrac{7}{\sqrt{196}}.​

A.

2

B.

3

C.

1

D.

4

Correct option is C

Given:

1447×1412×7196\frac{\sqrt{144}}{7}×\frac{14}{12}×\frac{7}{\sqrt{196}}

Solution:

1447×1412×7196\frac{\sqrt{144}}{7}×\frac{14}{12}×\frac{7}{\sqrt{196}}

=127×1412×714=\frac{12}{7}×\frac{14}{12}×\frac{7}{14}

= 1

Option (C) is right.

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