2 times square root of 27 minus square root of 18 plus 3 times squareroot of 27=
The question is unclear.
Is it 2 times the square root of 27?
Or
2 times (the square root of 27 minus the square root of 18)?
Or some other combination?
2 times square root of 27 minus square root of 18 plus 3 times squareroot of 27=
v
= 5√27 - √18
= 15√3 - 3√2
= 25.98 - 4.24
= 21.74 (approx.)
First line:
2√27 - √18 + 3√27
To simplify the given expression, we need to follow the order of operations (also known as PEMDAS).
Step 1: Simplify each square root individually.
√27 can be simplified as √(9 × 3).
Since 9 is a perfect square (√9 = 3), we can take it out of the square root.
√27 becomes 3√3.
In the same way, √18 can be simplified as √(9 × 2).
√18 becomes 3√2.
Step 2: Substitute the simplified values back into the expression.
2(3√3) - 3√2 + 3(3√3)
Step 3: Simplify each term in the expression.
2(3√3) = 6√3
3(3√3) = 9√3
Substituting these values back into the expression:
6√3 - 3√2 + 9√3
Step 4: Combine like terms.
The terms with the same radical can be combined.
6√3 + 9√3 = 15√3
Final Answer: 15√3 - 3√2