Perfect squares & estimating square roots Flashcards
to be able to fluently find the answers of all perfect squares till 17^2 & fluently estimate non-perfect square roots to the first decimal based on perfect squares.
What is the square root of 1?
1(same)
What is the square root of 2?
4(2x2)
What is the square root of 3?
9(3x3)
What is the square root of 4?
16(4x4)
What is the square root of 5?
25(5x5)
What is the square root of 6?
36(6x6)
What is the square root of 7?
49(7x7)
What is the square root of 8?
64(8x8)
What is the square root of 9?
81(9x9)
What is the square root of 10?
100(10^2 & the default for estimating decimal roots)
What is the square root of 11?
121(11x11)
What is the square root of 12?
144(12x12)
What is the square root of 13?
169 (remember 169,196 )
What is the square root of 14?
196 (remember 169,196 )
What is the square root of 15?
225
What is the square root of 16?
256 (remember 256 gb usb)
What is the square root of 17?
289
How to estimate the square root of 20?
Find the square’s numbers it is in between and estimate what the decimal answer is on a number line
How to change √0.36 to a fraction?
see ending fraction place (tenth,hundreth,thousanth, ect…) and for this one it is hundreth so that means over 100. So, it will be 36/100 and both are perfect squares so, 6/10 would be the simplified version. The decimal answer would be 0.6
How to write √1.44 as a fraction?
see ending fraction place (tenth,hundreth,thousanth, ect…) and for this one it is hundreth so that means over 100. So, It will be 144/100 and both are perfect squares so, 12/10 would be the simplified version. The decimal answer would be 1.2
How to write √0.4 as a fraction?
√4/10
How to estimate decimal roots?
Find the estimate of decimal to fraction which is always over 100, then find the answer of the top fraction’s √ by estimating imperfect squares
How to find a number who’s square root is in between two numbers?, for example in between 0.8 & 0.9
The easy way is to find 0.8^2 & 0.9^2 so you get 0.64 & 0.81, Now pick any number in between theese two for example 0.7, to be exact find 0.85’s square root for an exact answer.
If 1.44 is the area of a square, what is the side length?
√144/100 is 12/10 or 1.2