MATHEMATICS HIGH SCHOOL

The difference of a and b is?-always rational
-sometimes rational
-never rational

The product of a and b is ?

- always rational
- sometimes rational
- never rational

the square root of ab is?

- always rational
- sometimes rational
- never rational

Answers

Answer 1

Answer:

The difference between a and b is always rational.

The product of a and b is always rational.

The square root of a and b is sometimes rational, sometimes irrational.

It is given that,

a and b are two rational numbers.

What is a rational number?

A number that can be written in the form p/q where q is non-zero is called a rational number, where p and q are integers.

(i) Difference of a and b

Difference between two rational numbers a and b is also a rational number.

let us take an example

Suppose a = 1/2

b = 1/5

a - b = 1/2 - 1/5 = 3/10 (also a rational number)

(ii) Product of a and b

Product of two rational numbers a and b is also a rational number.

Suppose a = 1/2

b=1/5

ab = 1/2 * 1/5 = 1/10 (also a rational number)

(iii) Square root of ab

The square root of ab can be sometimes rational, sometimes irrational.

let us take two example

1) suppose a = 1/9

b = 1/4

ab = 1/36

√ab = 1/6 (also a rational number)

2)suppose a = 1/5

b = 1/2

ab = 1/10

ab = 1/√10 ( an irrational number)

Therefore, The difference between a and b is always rational.

The product of a and b is always rational.

The square root of a and b is sometimes rational, sometimes irrational.

To get more about rational numbers visit:

brainly.com/question/12088221

Answer 2

Answer: A rational Number is a number that can be written into a fraction. So sometimes rational.

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Select the correct answer. The sum of two numbers is -18. If the first number is 10, which equation represents this situation, and what is the second number? A. The equation that represents this situation is 10 − x = -18. The second number is 28. B. The equation that represents this situation is 10 + x = -18. The second number is -28. C. The equation that represents this situation is x − 10 = -18. The second number is -8. D. The equation that represents this situation is -10 + x = -18. The second number is -8.

Answers

Answer:-28

Step-by-step explanation:

Let A is the second number

the first number is 10.

The total is -18

=> 10 + A =-18 <=> A=-18-10=-28

Express 53 = x as a logarithmic equation.

Answers

Answer:

$\log_5 x = 3$

Step-by-step explanation:

Using logarithmic rule:

$\log_b b^a = a$

Given the equation:

$5^3 = x$

Taking log with base 5 both sides we have;

$\log_5 5^3 = \log_5 x$

Apply the logarithmic rule:

$3 = \log_5 x$

$\log_5 x = 3$

Therefore, $5^3 = x$ as a logarithmic equation is, $\log_5 x = 3$

log5x=3 I think is the answer

Evaluate : 5-3(x-1) when x=7

Answers

The value of 5-3(x-1) when x=7 is -13.

What is Evaluate meaning?

Evaluation is nothing but to solve an algebraic expression means to find the value of an expression by replacing the value of the variable in it.

To evaluate the expression value, we simply substitute the variable from its given value and simplify the expression by using order of operations.

In our case, the given expression is:

5-3(x-1)

Substitute the given number i.e., 7 for the variable in the expression:

5-3(7-1)

Solve the bracket first:

5-3(6)

Now solve the multiplication part:

5 - 18

Finally Subtract 5 from -18, we get:

-13

Hence the final value of the expression is -13 at x=7.

To learn more about Evaluation, refer to the link: