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3 years ago

Which of the following is a complex number? a. -7 b. 2+√3 c. 4+9i d. π

Mathematics

2 answers:

Feliz [49]3 years ago

3 0

Hello,

Answer C
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scoundrel [369]3 years ago

3 0

Answer: C. 4+9i

Step-by-step explanation:

A combination of a real and an imaginary number is called complex number.

Since, - 7 is the negative integer and an integer is always the real number only therefore it can not be the complex number,

2+√3 is the irrational number which is only a real number therefore, it can not be the complex number,

In number 4+9i, 4 is the real number and 9i is the imaginary number, Therefore it is a complex number,

π is the irrational number and an irrational number is always a real number therefore it can be the complex number.

Thus, Option C is correct.

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Is is square root of 1.6875 a rational number

mamaluj [8]

Question:

Is square root of 1.6875 a rational number ?

Answer:

Square root of 1.6875 a rational number is not a rational number

Solution:

Given that we have to find square root of 1.6875 and determine if it is rational number or not

Let us first find square root of 1.6875

$\sqrt{1.6875} = 1.29903810568$

Let us understand about rational number

A rational number is a number that can be expressed as a fraction (ratio) in the form $\frac{p}{q}$ where p and q are integers and q is not zero.

When a rational number fraction is divided to form a decimal value, it becomes a terminating or repeating decimal.

So the number 1.29903810568 is not a rational number

In other words we can say,

Only the square roots of square numbers are rational. Here 1.6875 is not a perfect square. So it is not rational number

4 0

3 years ago

Solve The Problems

spayn [35]

X - 7 > 10
x > 10 + 7
x > 17

3x < = 21
x < = 21/3
x < = 7

5a - 2 < 18
5a < 18 + 2
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a < 20/5
a < 4

2t + 8 > = -4 (t + 1)
2t + 8 > = -4t - 4
2t + 4t > = -4 - 8
6t > = - 12
t > = -12/6
t > = -2

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3 years ago

Read 2 more answers

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Volgvan

Answer:

Step-by-step explanation:

Prime factorization: 43 is prime. The exponent of prime number 43 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 43 has exactly 2 factors.

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