7 grade maths
How do you simplify: square root of 20?
How do you simplify: square root of 20?
1 Answer
Askiitians Tutor Team
Approved Tutor Answer9 Months agoTo simplify the square root of 20, you can break it down into its prime factors. The number 20 can be expressed as:
- 20 = 4 × 5
- 4 is a perfect square (2 × 2).
Now, you can rewrite the square root of 20 using this factorization:
√20 = √(4 × 5)
Next, apply the property of square roots that allows you to separate the factors:
√20 = √4 × √5
Since the square root of 4 is 2, you can simplify further:
√20 = 2√5
Thus, the simplified form of the square root of 20 is 2√5.
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