Math riddles and basic arithmetic brain teasers generate strong engagement across social media platforms like Facebook. By presenting square root equations on eye-catching visual backgrounds, these puzzles challenge readers to apply basic order of operations and arithmetic principles.
A crisp graphic featuring a fresh red apple with water droplets displays the following math expression:
$$\frac{\sqrt{81} + \sqrt{9}}{\sqrt{36}}$$
While multi-term fractions can appear tricky at first glance, breaking down each square root independently reveals a clean and simple solution: 2.
In this guide, we break down the calculation step-by-step, review the order of operations for fractions, and explain how each part of the equation simplifies.
Step-by-Step Mathematical Solution
To solve the equation $\frac{\sqrt{81} + \sqrt{9}}{\sqrt{36}}$, evaluate each radical term before performing the final division:
[ EQUATION WORKFLOW ]
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[ NUMERATOR radicals ] [ DENOMINATOR RADICAL ] [ FINAL DIVISION ]
• √81 = 9 • √36 = 6 • 12 / 6 = 2
• √9 = 3
• 9 + 3 = 12
1. Simplify the Numerator Radicals
- Find the principal square root of 81:$$\sqrt{81} = 9 \quad (\text{since } 9 \times 9 = 81)$$
- Find the principal square root of 9:$$\sqrt{9} = 3 \quad (\text{since } 3 \times 3 = 9)$$
- Add the numerator terms together:$$9 + 3 = 12$$
