Question

Estimate 357‾‾‾‾√ between two consecutive whole numbers.Provide your answer below:

Answer 1

Square roots

We are going to find two numbers whose square power falls higher and lower to 357.

Let's start with the numbers we know so we can get closer to the answer.

We have that

10²=100

20²=400

Then,

10 < __ < √357 < __ < 20

Let's find a number higher than 10 whose square power falls nearer to 357:

15² = 225

Then,

15 < __ < √357 < __ < 20

Let's find a number higher than 15 whose square power falls nearer to 357:

18² = 324

Now, we can find the pair of numbers, because we know that they must be between 18 and 20:

18² = 324

19² = 361

20²=400

Since 357

is between 18² = 324

and 19² = 361

Then, the consecutive numbers are 18 and 19:

18 < √357 < 19