How do you simplify √184?
How do you simplify √184?
Aniket Singh , 9 Months ago
Grade
10 grade maths> How do you simplify √184?...
1 AnswersAskiitians Tutor Team
To simplify the square root of 184, we start by finding its prime factorization.
Step 1: Factorization
First, we can break down 184 into its prime factors:
- 184 is even, so divide by 2: 184 ÷ 2 = 92
- 92 is also even: 92 ÷ 2 = 46
- 46 is even: 46 ÷ 2 = 23
- 23 is a prime number.
Thus, the prime factorization of 184 is:
184 = 2 × 2 × 2 × 23 = 2³ × 23
Step 2: Simplifying the Square Root
Now, we can simplify the square root:
√184 = √(2³ × 23)
We can take out pairs of factors from under the square root:
√184 = √(2² × 2 × 23) = 2√(2 × 23)
Final Result
Therefore, the simplified form of √184 is:
2√46
Approved Last Activity: 9 Months ago
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