Please help me solve this
3/[SQRT(5) - 2]
What answer have you gotten?
My answer is 4 but IM not sure if ai am doing it correclty.
paste this into the Google search window
3/(sqrt(5) - 2)
Duh.
thanks but do u hav the work to go along with it?
find the sqrt(5)
Take 2 away from it.
divide the remainder into 3
thanks
To solve the expression 3/[√(5) - 2], you need to rationalize the denominator. This means you want to eliminate any square roots or radicals in the denominator to make the expression easier to work with.
Here's how you can do it:
Step 1: Start by multiplying both the numerator and the denominator by the conjugate of the denominator. The conjugate of √(5) - 2 is √(5) + 2. So, multiply both numerator and denominator by √(5) + 2.
3/[√(5) - 2] * [√(5) + 2]/[√(5) + 2]
Step 2: Multiply the numerators and denominators, and simplify if possible.
3 * (√(5) + 2) = 3√(5) + 6
[√(5) - 2] * (√(5) + 2) = (√(5))^2 - 2^2 = 5 - 4 = 1
So the expression simplifies to:
(3√(5) + 6)/1
Since anything divided by 1 is itself, the expression further simplifies to:
3√(5) + 6
Therefore, the solution to 3/[√(5) - 2] is 3√(5) + 6.