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4 years ago

Why is the square root of a perfect square always rational

Mathematics

2 answers:

maw [93]4 years ago

6 0

Answer:

It is rational because when we solve a square root it gives us a positive and a negative value given that it is the square root of a perfect square

Lets take an example 36 if we take the square root of 36 it would be 6*6

If a number is multiplied by itself then the product is said to be square of the number. And the number (i.e. 6) is called the square root

Perfect square number

A number can be written as a product of two equal factors then the number is said to be a perfect square number

Oksana_A [137]4 years ago

5 0

The square root of a perfect square will always be a whole positive or negative number.

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lara31 [8.8K]

if i know the anwser,you must gave mini love

8 0

3 years ago

The newest Prius claims to be able to drive about 54 miles for every 1 gallon of gasoline it uses. If gasoline costs $3.79 per g

OLEGan [10]

Answer:

$30.32

Step-by-step explanation:

381.7 ÷ 54 is used to find how many gallons you need but we know it won't be exact so we will round up the numbers.

382 ÷ 54 = 7

The answer isn't exactly 7 but in this situation, all you need to know is that it is over 7 since if the gasoline takes more than 7 gallons, you need to buy 8.

3.79 x 8 = 30.32

Sorry it took me a while to see this

7 0

3 years ago

On a number spinner of 9 what is the probability of spinning a number greater than 5

erica [24]

4/9 hope this helps!

4 0

3 years ago

The 6 has a value of 6 *

vlabodo [156]

6 equals 6*10^0 which os 6*1=6

8 0

3 years ago

A dairy company can make 1200 units of product each week. To meet the needs of its regular customers,

eimsori [14]

Answer:

300 cheese and 900 yogurt

Explanation:

1. Name the variables:

C = number of units of cheese
Y = number of units of yogurt

2. State the constraints (inequalities)

a) Company can make 1,200 units of product each week:

C + Y ≤ 1,200

b) Company must produce at least 300 units of cheese,

C ≥ 300

c) Company must produce at least 450 units of yogurt.

Y ≥ 450

3. Build the graph

a) C + Y ≤ 1,200

i) Draw the line C + Y = 1,200

Use the y-intercept (0, 1200) and the x-intercept (1200,0)
Use a solid line because thepoints on the line are part of the solution

ii) Shade the region below the line (again the line is inclueded)

b) C ≥ 300

i) Draw a solid vertical line that passes through (300,0)

ii) Shade the region to the right of the line (the line is included)

c) Y ≥ 450

i) Draw a solid horizontal line that passes through (450, 0)

ii) Shade the region above the line (the line is included)

The solution region is delimited by those three lines and it is shown on the graph attached.

4. Determine the vertices of the triangle that forms the solution region

a) Intersection of the lines C + Y = 1,200 and C = 300

Y = 1,200 - 300 = 900
Point (300, 900)

b) Intersection of the lines C + Y = 1200 and Y = 450

C = 1,200 - 450 = 750
Point (750, 450)

c) Intersection fo the lines C = 300 and Y = 450

Point (350, 450)

5. Determine the profits with the three vertices

The profit equation is P = $60C + $90Y

a) Point (300, 900)

P = $60(300) + $90(900) = $99,000

b) Point (750, 450)

P = $60(750) + $90(450) = $85,500

c) Point (300, 450)

P = $60(300) + $90(450) = $58,500

<h2>Conclusion: </h2>

The maximum profit is when the company produces 300 units of cheese and 900 units of yogurt.

3 0

3 years ago