Simplify 13√27 .(1 point)
Responses
39√3
39 start root 3 end root
39
39
16√3
16 start root 3 end root
This radical expression is already fully simplified.
The simplified expression is 39√3.
To simplify 13√27, we can start by factoring 27 into its prime factors: 27 = 3^3.
Next, we can simplify the square root of 27 by taking out one factor of 3 from inside the square root:
13√27 = 13√(3^3) = 13√(3∙3∙3)
Now, we can simplify the square root by taking one 3 out of the square root sign:
13√(3∙3∙3) = 13∙3√3 = 39√3
Therefore, the simplified form of 13√27 is 39√3.
To simplify the expression 13√27, you can follow these steps:
Step 1: Simplify the square root of the number inside the radical sign (√27):
√27 = √(9 × 3)
Step 2: Simplify the square root of 9:
√27 = 3√3
Step 3: Multiply the result from step 2 with the number outside the radical sign (13):
13 × 3√3 = 39√3
Therefore, the simplified expression of 13√27 is 39√3.