ACT Math : Other Squaring / Square Roots
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例子问uestions
例子问uestion #1 :How To Find The Square Of An Integer
If (x - 3)2= 64, what is a possible value of x?
In order to solve for x, we must first take the square root of both sides.
(x - 3)2= 64
(x - 3) = +/- 8
The square root of 64 is either 8 or -8. We then solve the equation with both possible values of the square root of 64.
x - 3 = 8(两边加3)。
x = 11
x - 3 = -8 (Add 3 to both sides.)
x = -5
x = 11 or -5.-5is the only possible value of x that is an answer choice.
例子问uestion #1 :How To Find The Square Of An Integer
Solve: 3³
27
18
9
93
99
27
When using a cube root. 3³ becomes 3 * 3 * 3.
3 * 3 = 9
9 * 3 = 27
例子问uestion #2 :Other Squaring / Square Roots
When you square the following numbers, which one results in an irrational number?
A rational number is any number than can be expressed as a fraction or a quotient of two integers. The square of π is still an irrational number. (√(2))2= 2, (1/3)2= 1/9, (7/17)2= 49/289, (1/2)2= 1/4, all can be writen in fractional form, and are thus, rational numbers.
例子问uestion #2 :How To Find The Square Of An Integer
How much larger is the sum of the squares of –2, –3, and 4 than the sum of these integers?
Infinitely larger
25
17
30
–1
30
The square of –2 is 4, of –3 is 9, and of 4 is 16.
The sum of these squares is 29.
The sum of (–2) + (–3) + (4) is –1.
29 – (–1) = 30
例子问uestion #81 :Arithmetic
Therefore,
例子问uestion #4 :Other Squaring / Square Roots
Simplify the following:
例子问uestion #7 :Other Squaring / Square Roots
The last two digits in the square of a number
If the last two digits of the squared number multiply to
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