Given:
π = 3.14
To find the expression that has a value closest to 1, susbtitute 3.14 for π in the first expression then evaluate.
We have:
[tex]\frac{7\pi}{\sqrt[]{10}}=\frac{7\ast3.14}{3.162}=\frac{21.98}{3.162}=6.95[/tex][tex]\sqrt[]{75}-\sqrt[]{74}=8.66-8.60=0.06[/tex][tex]\sqrt[]{37}-\sqrt[]{26}=6.08-5.10=0.98[/tex][tex]\frac{3\sqrt[]{5}-\sqrt[]{20}}{\sqrt[]{2}}=\frac{6.71-4.47}{1.41}=\frac{2.24}{1.41}=1.58[/tex]
The value closest to 1 from the simplified expressions is 0.98.
Therefore, the expression that has a value closest to 1 is: √37 - √26
ANSWER:
[tex]C.\text{ }\sqrt[]{37}-\sqrt[]{26}[/tex]
