Question

Select the correct answer which expression has a value closest to 1 use 3.14 as the value of pie

Answer 1

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:

`\frac{7\pi}{\sqrt[]{10}}=(7\ast3.14)/(3.162)=(21.98)/(3.162)=6.95`
`\sqrt[]{75}-\sqrt[]{74}=8.66-8.60=0.06`
`\sqrt[]{37}-\sqrt[]{26}=6.08-5.10=0.98`
`\frac{3\sqrt[]{5}-\sqrt[]{20}}{\sqrt[]{2}}=(6.71-4.47)/(1.41)=(2.24)/(1.41)=1.58`

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:

`C.\text{ }\sqrt[]{37}-\sqrt[]{26}`