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2 years ago

5

How to simplify i^2 with all steps and the answer

1 answer:

liq [111]2 years ago

3 0

Well.. I'm not sure if I remember this correctly but doesn't "i" represent the square root of -1? Therefore if you square a square root, they cancel out and you're left with -1 as your answer.

Steps would be to:
change "i" to the square root of -1
put the exponent 2 outside of that
cancel the square root and the exponent
answer= -1

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X + 11 = 3 so the equation

Mnenie [13.5K]

X+11=3
-11 -11
x=-8

you subtract 11 from both sides. then you got the answer.

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2 years ago

Find five rational numbers between 3/7 and 2/3

Softa [21]

Answer:

First, you get both of them with same denominator:

3/7 and 2/3 => 9/21 and 14/21, however, there are only 4 rational numbers between 9/21 and 14/21.

The solution is that you can raise the denominator 2 times:

9/21 and 14/21 => 18/42 and 28/42

Now you can select : 19/42, 20/42, 21/42, 22/42, 23/42. They are a group of 5 rational numbers you are looking for.

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2 years ago

The decimal form of a rational number never repeats

oksano4ka [1.4K]

Answer: False, the decimal form of a rational can repeat.

Step-by-step explanation:

Rational numbers when in decimal form can either be terminating or repeating. So the answer to the question is false because they can repeat.

4 0

2 years ago

How do you simplify rational expressions?

deff fn [24]

The simplification of rational expressions is explained

<u>Solution:</u>

Rational expressions are fractions that have a polynomial in the numerator, denominator, or both.

Rational expressions contain variables, they can be simplified in the same way that numerical fractions are simplified.

<em><u>Steps to simplify rational expressions:</u></em>

Let us see it with an example:

$\frac{3 x^{2}-3 x}{3 x^{3}-6 x^{2}+3 x}$

1) Look for factors that are common to the numerator & denominator

$\frac{3 x(x-1)}{3 x\left(x^{2}-2 x+1\right)}$

2) 3x is a common factor to the numerator & denominator. Note that it is clear that x ≠0

3) Cancel the common factor

$\frac{x-1}{x^{2}-2 x+1}$

4) If possible, look for other factors that are common to the numerator and denominator

$\frac{x-1}{(x-1)(x-1)}$

5) After cancelling, you are left with $\frac{1}{(x-1)}$

6) The final simplified rational expression is valid for all values of "x" except 0 and 1

We have to follow the same procedure for any rational expression.

7 0

2 years ago

18% of what number is 0.6

hoa [83]

Answer:

Step-by-step explanation:

Let the number be x

18% of x = 0.6

18/100 × x = 0.6

18x/100 = 0.6

18x = 100 × 0.6

18x = 60

x = 60/18

x = 3.33

6 0

2 years ago

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