How do you simplify: Square root 40?
How do you simplify: Square root 40?
Aniket Singh , 1 Year ago
Grade
7 grade maths> How do you simplify: Square root 40?...
1 AnswersAskiitians Tutor Team
To simplify the square root of 40, follow these steps:
Prime factorization of 40: Break 40 down into its prime factors: 40 = 4 × 10 = (2 × 2) × (2 × 5) = 2 × 2 × 2 × 5
Group the factors in pairs: We can pair up two 2's, which gives us a perfect square.
Simplify: The square root of 40 can be written as: √40 = √(2 × 2 × 2 × 5) = √(4 × 10)
Take the square root of the perfect square (4): √(4 × 10) = √4 × √10 = 2√10
Thus, the simplified form of √40 is 2√10.
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