Question

Find out the approximate value of $\sqrt{280}$ upto one place after decimal.

• A. 16.8
• B. 16.7
• C. 16.4
• D. 16.9

Answer 1

The correct option is B 16.7

We know, $\sqrt{256}=16$ and $\sqrt{289}=17$.
Now 280 is much closer to 289 than 256.
So, let's start from numbers which are little less than 17.
$17\times 17=28916.9\times 16.9=285.6116.8\times 16.8=282.2416.7\times 16.7=278.89$
Now we can see that 280 is just greater than 278.89
So, we can write $\sqrt{280}=16.7$