Question

estimate the value of the following to the nearest whole number. i)√80 ii) √1000 iii)√350 iv)√500​

Answer 1

Solution:

(i) We know that 80 < 81 < 100

√81 = 9

√100 = 10

9 < √80 < 10

Now, √80 is much closer to 92 = 81

So √80 is approximately = 9

(ii) 1000

100 < 1000 < 10000

√100 = 10

√10000 = 100

10 < √10000 < 100

But we are not very close to square number.

then 312 = 961

322 = 1024

Hence, 1024 is closer to 1000, than 961

∴ √1000 = 32 (app.)

(iii) 350

100 < 350 < 400

√100 = 10

√400 = 20

10 < √350 < 20

But we are not very close to square number.

then 182 = 324

192 = 361

So, 350 is closer to 361, then 324

Hence √350 = 19 (app.)

(iv) 500

100 < 500 < 625

√100 = 10

√625 = 25

10 < √500 < 25

But we are not very close to the square number. So,

222 = 484 and 232 = 529

22 < √500 < 23

But 500 is closer to 484 than 529

Hence, √500 = 22

__________________________________________________________

PLEASE MARK ME AS A BRAINLIEST PLS