Welcome to today’s fun math puzzle challenge!
Math puzzles are a great way to keep your brain active and sharp.
Today, we have a clean and simple algebra equation written on paper.
At first glance, it looks like standard high school math.
However, many people get confused when dealing with square roots and fractions together.
Don’t worry, because we will break it down step by step together.
Let’s look closely at the equation in the picture.
The equation given is: (√81 + √9) / x = 4.
Our main objective is to find the value of x.
To solve this problem easily, we can split it into three simple steps.
Step 1: Simplify the square roots on top of the fraction.
First, let’s look at the term √81.
What number multiplied by itself equals 81?
The answer is 9, because 9 times 9 is 81.
So, √81 equals 9.
Next, let’s look at the term √9.
What number multiplied by itself equals 9?
The answer is 3, because 3 times 3 is 9.
So, √9 equals 3.
Step 2: Add the simplified values together.
Now we replace the square roots with their numerical values.
The top part of our fraction becomes 9 + 3.
When we add 9 and 3 together, we get 12.
So, the top part of the fraction, also known as the numerator, is 12.
Now our original equation looks much simpler: 12 / x = 4.
Step 3: Solve for x.
This simple equation asks: 12 divided by what number equals 4?
To find x, we can multiply both sides of the equation by x.
This gives us: 12 = 4x.
Next, to isolate x, we divide both sides by 4.
12 divided by 4 equals 3.
Therefore, x equals 3!
Let’s do a quick double-check to make sure our logic is accurate.
We plug x = 3 back into our original equation.
We calculate (√81 + √9) / 3.
This equals (9 + 3) / 3.
Which simplifies to 12 / 3.
12 divided by 3 is indeed 4.
The left side of the equation equals the right side perfectly!
Congratulations on solving this fun math puzzle correctly!
Keep practicing math puzzles daily to sharpen your problem-solving skills!
