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5 votes
What is the value of √14 divided by √686?
a) √2
b) √7
c) √13
d) √17

User Noctiluque
by
7.6k points

1 Answer

4 votes

Final answer:

The value of √14 divided by √686 simplifies to 1/7 after factoring out √14, and no further simplification can present it in the form of a single square root. Thus, the answer is not listed among the options provided.

Step-by-step explanation:

To determine the value of √14 divided by √686, we can simplify the square roots and divide.

  • Firstly, we notice that 14 is a factor of 686. Specifically, 686 divided by 14 equals 49, or 14*49=686.
  • So, √686 can be written as √(14*49) which simplifies to √14 * √49.
  • The square root of 49 is 7. So we have √14 divided by (√14 * 7).
  • Dividing √14 by √14 gives 1, and we are left with 1/7.
  • Since √14/√14 is 1, and 1/7 is simply 1/7, there's no additional simplification needed.

So, the final simplified form of √14 divided by √686 is 1/7, which correlates to √2 divided by √14. Therefore, none of the given options (a, b, c, d) are correct.

User Elastep
by
8.9k points
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