5=2.236067978 10=3.16227766 15=3.872983346 20=4.472135955
Deductive reasoning. You know that 10 x 10 is 100 and 20 x 20 is 400, so the square root of 225 is between 10 and 20. Only numbers that end in a five will create a square that ends in a five. 15 x 15 = 225
10,000,000,000 The square root of 10^20 is 10^10
0.5
sqrt(20)*sqrt(5) = sqrt(20*5) = sqrt(100) = ±10
10 squared is 100. 20 squared is 400. 225 is between 100 and 400. Its square root will be between 10 and 20.
It is in between because it is 15
Deductive reasoning. You know that 10 x 10 is 100 and 20 x 20 is 400, so the square root of 225 is between 10 and 20. Only numbers that end in a five will create a square that ends in a five. 15 x 15 = 225
10,000,000,000 The square root of 10^20 is 10^10
10 root 2 ie 14.14
10 is greater than square root 20 √20 = √(2 x 10) = √2 x √10 10 = √10 x √10 √10 > √2 → 10 > √20
0.5
Square root of 20 is 2*SQRT(5) or approx. 4.472 Square root of 40 is 2*SQRT(10) or approx. 6.325
10 squared is 100. 20 squared is 400. 225 is between 100 and 400. Its square root will be between 10 and 20.
sqrt(20)*sqrt(5) = sqrt(20*5) = sqrt(100) = ±10
10 squared is 100. 20 squared is 400. 225 is between 100 and 400. Its square root will be between 10 and 20.
If it's just the square root of x, and that is over 20, you're looking for x=100. Here's why: 1/2 is one half. What number is 1/2 of 20? 10, right? What number has a square root that equals 10? 100! So~ the square root of 100 is 10. 10 out of 20 is equal to 1 out of 2.
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