Question

Simplify 2 square root of 5 plus 3 square root of 5 minus square root of5?

Answer 1

The expression 2 square root of 5 plus 3 square root of 5 minus square root of 5 simplifies to 4 square root of 5 by combining like terms, similar to how variables with the same exponent are combined.

Step-by-step explanation:

To simplify the expression 2 square root of 5 plus 3 square root of 5 minus square root of 5, we first need to recognize that we can combine like terms because each term involves the square root of 5. Combining like terms is similar to combining variables with the same exponent. For example, x² is another way to express √x, because when multiplied by itself, it yields x.

Let's simplify our expression:

• 2√5 + 3√5 - √5

We can combine these like terms by adding and subtracting the coefficients:

• 2 + 3 - 1 = 4

Therefore, the simplified expression is:

• 4√5

Answer 2

The answer is 4√5

Step-by-step explanation:

Simplify 2√5 + 3√5 - √5

We can simplify this operation this way:

√5 (2 + 3 - 1) or (2 + 3 - 1)√5

Now, we resolve the operations inside the parenthesis:

√5 (5 - 1) = √5 (4) = 4√5 or (5 - 1) √5 = (4) √5 = 4√5

So, the result of the simplification of this operation is 4√5.