Answer :

Certainly! Let's find the square roots of the given numbers correct to two decimal places.

(i) Finding the square root of 645.8 correct to two decimal places:

We start with the number 645.8. Taking its square root, we get:

[tex]\[ \sqrt{645.8} \approx 25.41 \][/tex]

So, the square root of 645.8, rounded to two decimal places, is 25.41.

(ii) Finding the square root of 107.45 correct to two decimal places:

Next, we consider the number 107.45. Taking its square root, we get:

[tex]\[ \sqrt{107.45} \approx 10.37 \][/tex]

Thus, the square root of 107.45, rounded to two decimal places, is 10.37.

(iii) Finding the square root of 5.462 correct to two decimal places:

Lastly, we take the number 5.462. Finding its square root, we get:

[tex]\[ \sqrt{5.462} \approx 2.34 \][/tex]

Therefore, the square root of 5.462, rounded to two decimal places, is 2.34.

In summary:

- The square root of 645.8 to two decimal places is 25.41.
- The square root of 107.45 to two decimal places is 10.37.
- The square root of 5.462 to two decimal places is 2.34.