Replace the radical with the nearest whole number and estimate the value of the expression. Then use a calculator to approximate the value to three decimal places. $$\frac { - 5 + \sqrt { 19 } } { 3 }$$
A) $- \frac { 11 } { 3 } ; \quad - 0.547$
B) $- \frac { 1 } { 3 } ; \quad - 0.214$
C) $2 \quad 1.560$
D) $\frac { 11 } { 3 } ; 1.560$
E) $\frac { 1 } { 3 } ; 0.547$

Question

Quizplus · Accepted Answer

The square root of 19 is approximately 4.36, so the expression becomes $\frac{-5 + 4}{3} = \frac{-1}{3}$. Using a calculator, the approximate value is -0.214.

Replace the Radical with the Nearest Whole Number and Estimate −5+193\frac { - 5 + \sqrt { 19 } } { 3 }3−5+19​​

Replace the Radical with the Nearest Whole Number and Estimate $\frac { - 5 + \sqrt { 19 } } { 3 }$