sqrt (10/2)= sqrt 5
Quotient Property: 2*sqrt10/2
I need to learn how to simplify the expression
give me a problem and i can teach you
Alright, let's try to simplify the expression:
3 * sqrt(12) / sqrt(3)
First, let's break down the square root of 12 into its prime factors:
-sqrt(12) = sqrt(2 * 2 * 3)
-sqrt(12) = sqrt(2^2 * 3)
Now, let's use the quotient property to solve the expression:
-3 * sqrt(12) / sqrt(3) = 3 * (sqrt(2^2 * 3) / sqrt(3))
Since the square root of a number squared is the number itself, we can simplify further:
-3 * (sqrt(2^2 * 3) / sqrt(3)) = 3 * (2 * sqrt(3) / sqrt(3))
Now we can see that we have a sqrt(3) in both the numerator and the denominator:
-3 * (2 * sqrt(3) / sqrt(3)) = 3 * (2 * 1) = 3 * 2
So the simplified expression is:
3 * sqrt(12) / sqrt(3) = 6
Certainly! Here's a problem we can work on:
Problem: Simplify the expression (4x^2 - 3x - 7) + (2x^2 + 5x - 9).
Step 1: Group like terms:
First, group the terms with the same variable and the same exponent together:
(4x^2 + 2x^2) + (-3x + 5x) + (-7 - 9)
Step 2: Combine like terms:
Now, combine the coefficients of the like terms:
(4 + 2)x^2 + (-3 + 5)x + (-7 - 9)
Simplifying further, we get:
6x^2 + 2x - 16
The simplified expression is 6x^2 + 2x - 16.
Sure! Let's take the expression (3√5 + 2√10) - (√5 - 4√10).
To simplify this expression, we can start by combining the terms that have the same radical. In this case, we have two terms with √5 and two terms with √10.
Step 1: Combine the terms with √5.
The first term is 3√5 and the second term is -√5. To combine these terms, we simply add them together:
3√5 - √5 = 2√5.
Step 2: Combine the terms with √10.
The third term is 2√10 and the fourth term is -4√10. To combine these terms, we also add them together:
2√10 - 4√10 = -2√10.
So, the simplified expression becomes:
2√5 - 2√10.
By following these steps, we were able to simplify the original expression.