√363 - 3√27
First, we need to simplify the square root of 363 and the square root of 27.
√363 = √(121 * 3) = √(11 * 11 * 3) = 11√3
√27 = √(9 * 3) = √(3 * 3 * 3) = 3√3
Now we can substitute these simplified values back into the original expression:
11√3 - 3(3√3)
Next, distribute the 3 to both terms inside the parentheses:
11√3 - 9√3
Now we can combine like terms:
11√3 - 9√3 = 2√3
So, the simplified radical expression is 2√3.
Simplify the radical expression. Show all your steps.
(Square root 363)-(3 square root 27)
3 answers
are you sure
Let me correct my mistake, I apologize for that confusion. Let's simplify the expression again.
√363 - 3√27
√363 simplifies to √(121 * 3) = 11√3
√27 simplifies to √(9 * 3) = 3√3
Now substitute the simplified values back into the original expression:
11√3 - 3(3√3)
Distribute the 3 to both terms inside the parentheses:
11√3 - 9√3
Combine like terms:
11√3 - 9√3 = 2√3
Therefore, the correct simplified radical expression is 2√3. Thank you for bringing this to my attention.
√363 - 3√27
√363 simplifies to √(121 * 3) = 11√3
√27 simplifies to √(9 * 3) = 3√3
Now substitute the simplified values back into the original expression:
11√3 - 3(3√3)
Distribute the 3 to both terms inside the parentheses:
11√3 - 9√3
Combine like terms:
11√3 - 9√3 = 2√3
Therefore, the correct simplified radical expression is 2√3. Thank you for bringing this to my attention.