The number( √5 +2)(√5 - 2) is a. an irrational number b. a rational number c. not a natural number d. none of these

Answers

Answer 1

Answer:

Answer:

The number (√5 + 2)(√5 - 2) can be simplified using the difference of squares formula, which states that (a + b)(a - b) = a² - b². In this case:

(√5 + 2)(√5 - 2) = (√5)² - 2² = 5 - 4 = 1

So, the number (√5 + 2)(√5 - 2) is equal to 1, which is a rational number because it can be expressed as a ratio of two integers (1/1). Therefore, the correct answer is:

b. a rational number

Answer 2

Answer:

Final answer:

The expression ( √5 +2)(√5 - 2) can be simplified using the difference of squares formula. The result is a rationalnumber, making option b. a rational number the correct answer.

Explanation:

The expression ( √5 +2)(√5 - 2) can be simplified using the difference of squares formula. The difference of squares formula states that a^2 - b^2 = (a + b)(a - b). In this case, a = √5 and b = 2. Plugging these values into the formula, we have (√5)^2 - 2^2 = ( √5 +2)(√5 - 2) = 5 - 4 = 1.

Since 1 is a rational number (it can be expressed as a fraction), the correct answer is b. a rational number.

Learn more about Simplifying algebraic expressions here:

brainly.com/question/35412911

#SPJ11

Related Questions

Solve the system using multiplication for the linear combination method.6x – 3y = 3 –2x + 6y = 14 What is the solution to the system? (2, 1) (2, –3) (2, –1) (2, 3)
Select the correct answer. Factor the expression. A. (7x − 4)(7x − 4) B. (4x − 7)(4x − 7) C. (7x + 4)(7x − 4) D. (4x + 7)(4x − 7)
? M/S = 7.2 km/h ------ PLEASE HELP
Simplify the equation 815 = 3x
Round each fraction to the nearest half and find the estimate. 2/6 + 1/6 one half 1 one and one half 2

(−6)^2
Need halp please

Answers

This is an EXPONENT.

To do this all we need to do is multiply the base by itself how many times the power says.

(-6)² = (-6) × (-6) = 36

Recall that any negative number times another negative number is positive so that is why this would be positive.

So, (-6)² = 36

Hope I helped ya!!

(-6) x (-6) = **36**

Carlos is three times as old his son. The sum of Carlos age and his sons age is 52. How old is Carlo

Answers

Answer:

Step-by-step explanation:

Let x = son's age

Then 3x = Carlos' age

So, x + 3x = 52

4x=52

x=13

So the son is 13 and Carlos is 3x13=39

What is the graph of the equation? y=-2

Answers

Your answer would look like this

The answer is D because it is a horozontal line crossing the Y-axis at the point (0,-2)

PLEASE HELP ONLY GOT 2 MINUTES LEFT !!!John has a goal to ride his bike 100 miles this summer. John has ridden 12 miles thus far. There are only 40 days left in summer. Write a inequality to represent the average distance, d, in miles, John must ride each day for the rest of summer

Answers

Answer:

y $\geq 2.2$

Step-by-step explanation:

John wants to complete at least 100 miles. he has completed 12 which means he only has 88 left. If you divide 88(miles left) by 40(time left) you get 2.2 miles. so he would need a minimum of 2.2 miles a day to bike 100 miles.

Answer:

12 + 40d ≥ 100

What’s the answer to this