The problem did not come out correctly here it is again
2 with the square root of 20 plus 5 with a square root of 80 minus 7 with a square root of 5
I answered your same question on Friday at 10:01
drwls answered your same re-posted question at 11:20
Please go back and check if your question has been answered before you post it multiple times.
To simplify the expression: 2√20 + 5√80 - 7√5, you can follow these steps:
1. Break down the given numbers under the square roots into their prime factors.
- √20 = √(2^2 * 5) = 2√5
- √80 = √(2^4 * 5) = 4√5
- √5 remains as √5
2. Substitute the simplified values back into the original expression.
- 2√20 + 5√80 - 7√5 = 2(2√5) + 5(4√5) - 7√5
3. Simplify the expression by combining like terms.
- 2(2√5) + 5(4√5) - 7√5
= 4√5 + 20√5 - 7√5
4. Combine the coefficients of the like terms.
- 4√5 + 20√5 - 7√5
= (4 + 20 - 7)√5
5. Calculate the simplified value outside the square root symbol.
- (4 + 20 - 7)√5
= 17√5
Therefore, 2√20 + 5√80 - 7√5 simplifies to 17√5.