Go step by step to reduce the radical.
square root of, 48, end square root
48
square root of, empty space, end square root
x
2
2square root of, empty space, end square root
x
24
24
Answer
Attempt 1 out of 2
To reduce the radical √48, we can first find the largest perfect square that is a factor of 48. This perfect square is 16, because 4² = 16.
Next, we can rewrite 48 as the product of 16 and 3, since 48 = 16 * 3.
Therefore, we can rewrite the radical as √(16 * 3).
Using the property √(a*b) = √a * √b, we can simplify the radical as √16 * √3.
√16 is equal to 4, because 4² = 16.
So, the simplified form of √48 is 4√3.
To reduce the square root of 48, you can break down the number into its prime factors and simplify. Here are the step by step instructions:
Step 1: Start with the number 48.
Step 2: Find the prime factors of 48. The prime factors are the prime numbers that multiply together to give the original number. In this case, the prime factors of 48 are 2, 2, 2, and 2, since 2 * 2 * 2 * 2 = 48. These factors can be written as 2^4.
Step 3: Group the prime factors into pairs. Since we have four 2's, we can pair them up as (2 * 2) * (2 * 2) = 4 * 4 = 16.
Step 4: Write the simplified square root. Taking the square root of the pairs, we have the square root of 16, which is 4.
Therefore, the simplified square root of 48 is 4 * the square root of 3.
Go step by step to reduce the radical.
square root of, 48, end square root
48
square root of, 16, end square root, dot, square root of, 3, end square root
16
⋅
3
square root of, empty space, end square root
x
Answer
Attempt 1 out of 2
You must answer all questions above in order to submit.
To reduce the square root of 48, we can break it down into factors and simplify. Here are the step-by-step instructions:
Step 1: Start with the square root of 48.
Step 2: Find the largest perfect square that is a factor of 48. In this case, it is 16 (4 * 4 = 16).
Step 3: Rewrite 48 as the product of the largest perfect square (16) and any remaining factors. So, 48 can be written as 16 * 3.
Step 4: Take the square root of the perfect square, which is 16. So, the square root of 48 is now the square root of 16 times the square root of 3.
Step 5: Simplify the perfect square. The square root of 16 is 4.
Step 6: Rewrite the simplified perfect square and the remaining factor. So, the square root of 48 is now 4 times the square root of 3.
Therefore, the simplified form of the square root of 48 is 4 * the square root of 3.