sqrt(45)+ sqrt(20)+ sqrt(5)-sqrt(125)=??
I came up with 6sqrt5 I know it's wrong. I think I messed up the breakdown of the sqrt of 125
sqrt(125) = sqrt (5*25) = 5 sqrt(5)
sqrt(9*5) + sqrt(4*5) + sqrt5 - sqrt(25*5)
= (3 +2 +1 -5)sqrt5 = sqrt5
So is the answer 6sqrt(5)?? Thank you
sqrt (9*5)+sqrt(4*5)+sqrt(5) -5 sqrt(5)
3 sqrt(5) +2 sqrt (5) + 1 sqrt(5) - 5 sqrt (5)
that is
1 sqrt(5)
ohhh I see what I did wrong Thanks you 2
No, it is NOT 6 sqrt(5)
To simplify the given expression, let's break down each square root individually and then combine like terms.
Starting with the square root of 45, we can break it down by finding the largest perfect square that divides evenly into 45. Since 9 is the largest perfect square that divides evenly into 45, we can express the square root of 45 as the square root of 9 times the square root of 5. Simplifying further, we have 3 times the square root of 5.
Next, let's break down the square root of 20. The largest perfect square that divides evenly into 20 is 4. So, the square root of 20 can be expressed as the square root of 4 times the square root of 5, which simplifies to 2 times the square root of 5.
Moving on to the square root of 5, it is already in its simplest form.
Lastly, let's break down the square root of 125. The largest perfect square that divides evenly into 125 is 25. Therefore, we can write the square root of 125 as the square root of 25 times the square root of 5, which simplifies to 5 times the square root of 5.
Now, let's simplify the expression by combining like terms:
3 times the square root of 5 + 2 times the square root of 5 + the square root of 5 - 5 times the square root of 5.
When we combine the coefficients of the square root of 5, we have:
(3 + 2 + 1 - 5) times the square root of 5.
Simplifying the coefficients, we get:
1 times the square root of 5, which is simply the square root of 5.
Therefore, sqrt(45) + sqrt(20) + sqrt(5) - sqrt(125) simplifies to just the square root of 5.