Question

Estimate the square root of 4.92+2.18x7.31

Answer 1

estimate means you always round to 1 significant figure. In this case :
4.92 rounded to 1sf = 5
2.18 rounded to 1sf = 2
7.31 rounded to 1sf = 7
Now put these back into the equation:
5+2x7 = 49
$\sqrt{49} = 7$

Answer 2

Answer:

4.36

Step-by-step explanation:

The given expression is

$\sqrt{4.98+2.18\times 7.31}$

We need to estimate the value of given expression.

First approximate each term of the given expression.

First term : $4.92\approx 5$

Second term : $2.18\approx 2$

Third term : $7.31\approx 7$

The value of given expression after approximation is

$\sqrt{5+2\times 7}$

$\sqrt{5+14}$

$\sqrt{19}$

The approximate value of $\sqrt{19}$ is 4.36.

Therefore, the estimated value of given expression is 4.36.