Solve the following exercise:
We have hundreds of course questions with personalized recommendations + Account 100% premium
Solve the following exercise:
To solve the expression , we will use the Product Property of Square Roots.
According to the property, we have:
First, calculate the product inside the square root:
Now the expression simplifies to:
Finding the square root of 25 gives us:
Thus, the value of is .
After comparing this solution with the provided choices, we see that the correct answer is choice 3.
Choose the largest value
While that works for perfect squares like this problem, it won't work for expressions like . The product property is the universal method that always works!
Use the same product property! For example: . The product inside might become a perfect square even when the original numbers aren't.
No! Square root multiplication is commutative, so . You can multiply in any order.
A perfect square is a whole number that equals another whole number squared. Common ones to memorize: , etc.
The same rule applies! . Just multiply all the numbers under one big square root.
Get unlimited access to all 18 Rules of Roots questions, detailed video solutions, and personalized progress tracking.
Unlimited Video Solutions
Step-by-step explanations for every problem
Progress Analytics
Track your mastery across all topics
Ad-Free Learning
Focus on math without distractions
No credit card required • Cancel anytime