Question

Estimate the square root of 300

Answer 1

Answer:

300 is not a perfect square. It is between two square numbers, 289 (square of 17) and 324 (square of 18). The rough value of square root of 300 is 11/35 + 17 approximately 17.31; with the help of a calculator, the approximate value of square root of 300 is 17.32050808.

Answer 2

Answer:

The approximate value of $\sqrt{300} = 17$

Step-by-step explanation:

We know that 300 lies between 100 and 400

100 < 300 < 400

${1 0 } < \sqrt{300} < {20}$

we know that between 10 and 20 we have ${17}^{2} = 289$ and ${18}^{2} = 324$

∴ 289 < 300 < 324 . 300 is closer to 324 then 289 the approximate value of $\sqrt{300} \: is \: 17$