Answer:
4.36
Step-by-step explanation:
The given expression is
[tex]\sqrt{4.98+2.18\times 7.31}[/tex]
We need to estimate the value of given expression.
First approximate each term of the given expression.
First term : [tex]4.92\approx 5[/tex]
Second term : [tex]2.18\approx 2[/tex]
Third term : [tex]7.31\approx 7[/tex]
The value of given expression after approximation is
[tex]\sqrt{5+2\times 7}[/tex]
[tex]\sqrt{5+14}[/tex]
[tex]\sqrt{19}[/tex]
The approximate value of [tex]\sqrt{19}[/tex] is 4.36.
Therefore, the estimated value of given expression is 4.36.