I have a triangle one side = 3

side 2 = square root5 - square root 3
side 3 = square root 5 + square root 3
I can get the answer 3 and I know I am missing the square root part of the equation can you help me by showing how this problem is worked so I can see where I am missing it?

What are you trying to solve?

the perimeter,
�ã5 - �ã(3 ) side 1
�ã5 + �ã(3 ) side 2
4 side 3
It looks like the side 1 and 2 cancel out each other just leaving side 3 with is 4. Is this correct?

To find the perimeter of the triangle, we need to add the lengths of all three sides of the triangle. Let's calculate it step by step:

Side 1: √5 - √3
Side 2: √5 + √3
Side 3: 4

To find the perimeter, we add all three sides:

Perimeter = Side 1 + Side 2 + Side 3

= (√5 - √3) + (√5 + √3) + 4

Now, let's simplify the equation:

= √5 - √3 + √5 + √3 + 4

When we combine like terms, the √3 and -√3 cancel each other out:

= √5 + √5 + 4

Now, add the √5 and √5:

= 2√5 + 4

So, the perimeter of the given triangle is 2√5 + 4.

To find the perimeter of the triangle, you need to add up all three sides. Let's break down the calculations step-by-step.

Given:
Side 1 = √5 - √3
Side 2 = √5 + √3
Side 3 = 4

1. Start with the formula for the perimeter of a triangle: Perimeter = Side 1 + Side 2 + Side 3.
P = (√5 - √3) + (√5 + √3) + 4

2. Simplify the expression by grouping like terms:
P = √5 + √5 - √3 + √3 + 4

3. Combine the terms that have the same radical expression:
P = 2√5 + 4

Therefore, the perimeter of the triangle is 2√5 + 4.