Find the approximate value of: (1.81²+⁴√(624.93))/(³√(729.07))+(9.82+√(63.91))=?

Find the approximate value of…

Find the approximate value of:
$\frac{1.81^{2}+\sqrt[4]{624.93}}{\sqrt[3]{729.07}}+\left(9.82+\sqrt{63.91}\right)=?$

Show answer & explanation

Correct answer: D

Explanation

Given:

(1.81² + ⁴√624.93) / ³√729.07 + (9.82 + √63.91)

³√729 ≈ 9, ⁴√625 ≈ 5

1.81² ≈ 3.28

⁴√624.93 ≈ 5

= 3.28 + 5 = 8.28

³√729.07 ≈ 9

8.28 / 9 ≈ 0.92

√63.91 ≈ 8

⇒ 9.82 + 8 = 17.82

Total ≈ 0.92 + 17.82 = 18.74 ≈ 19