Find a rational approximation, to the nearest tenth, for the radical expression. $6 \sqrt { 19 } + 8 \sqrt { 19 }$
A) 59.4
B) 65.3
C) 62.8
D) 61.4
E) 61.0

Question

Quizplus · Accepted Answer

$6\sqrt{19}+8\sqrt{19}=(6+8)\sqrt{19}=14\sqrt{19}$
We want to find a rational approximation to the nearest tenth, so we need to round  $14\sqrt{19}$ to the nearest tenth. Using a calculator, we get:

$14\sqrt{19}\approx 61.0104$

Rounding to the nearest tenth, we get:

$14\sqrt{19}\approx 61.0$

Therefore, the best choice is E.

Find a Rational Approximation, to the Nearest Tenth, for the Radical