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hodyreva [135]
3 years ago
13

Sam said the square root of a rational number must be a rational number. Jenna disagreed. She said that it is possible that the

square root of a rational number can be irrational. Who is correct and why?
Mathematics
2 answers:
Nat2105 [25]3 years ago
6 0
Jenna is correct.  This is because the square root of 2 is an irrational number.  And if the number is a prime number, the answer is less likely to have a rational square root.
Rzqust [24]3 years ago
3 0

Answer: Jenna is correct.

Step-by-step explanation:

We can prove this statement with help of two examples.

Since we know that 64 is the rational number.

And, the square root of 64 is \sqrt{64}.

Which is equal to 8 or -8.

And, they are integers, and we know that the integer are always a rational number.

Therefore \sqrt{64} is a rational number.

And, If we take a number 2 which is a rational number.

Since, when we do square root of 2, we get √2.

And, √2 is a irrational number.

Thus, we can say that we can obtain a rational or irrational number after doing the square root of rational number.

Therefore, Jenna is correct.



You might be interested in
The perimeter of a rectangle is 48 m. The area of the rectangle is 128 square meters. Find the dimensions of the rectangle.
Andreas93 [3]

Answer:

l = 16, w = 8

Step-by-step explanation:

Let l = length

Let w = width

Area = w * l

128 = w * l

w  = 128/l

Perimeter = 2w + 2l

48 = 2w + 2l

48 = 2(128/l) +2l

48 = 256/l +2l

Multiply everything by l

48l = 256 + 2l^2

l^2 + 128 = 24l

l^2 + 128 -24l = 0

(l-16)(l-8)= 0

L = 16

L = 8

If you try them out, and test it, l = 16 would work:

2(16) + 256/16 = 48

32 + 16 =48

16 * 128/16 = 128

16 * 8= 128

128 = 128

Since I'm not sure if you are in advanced math or not, I will do it simple with guess and check

Try w is

3 0
3 years ago
What is the volume of the cone with a height of 3ft and a radius of 4 ft in cubic ft
tino4ka555 [31]
The answer is 50.24 ft
4 0
3 years ago
Please HJelp QUICKLY
torisob [31]
<span>Along the x axis:
5 - 3 = 2 blocks

</span>Along the y axis:
8 - 1 = 7 blocks

Total:
2 + 7 = 9 blocks

7 0
3 years ago
P: 2,012
OleMash [197]

El volumen <em>remanente</em> entre la esfera y el cubo es igual a 30.4897 centímetros cúbicos.

<h3>¿Cuál es el volumen remanente entre una caja cúbica vacía y una pelota?</h3>

En esta pregunta debemos encontrar el volumen <em>remanente</em> entre el espacio de una caja <em>cúbica</em> y una esfera introducida en el elemento anterior. El volumen <em>remanente</em> es igual a sustraer el volumen de la pelota del volumen de la caja.

Primero, se calcula los volúmenes del cubo y la esfera mediante las ecuaciones geométricas correspondientes:

Cubo

V = l³

V = (4 cm)³

V = 64 cm³

Esfera

V' = (4π / 3) · R³

V' = (4π / 3) · (2 cm)³

V' ≈ 33.5103 cm³

Segundo, determinamos la diferencia de volumen entre los dos elementos:

V'' = V - V'

V'' = 64 cm³ - 33.5103 cm³

V'' = 30.4897 cm³

El volumen <em>remanente</em> entre la esfera y el cubo es igual a 30.4897 centímetros cúbicos.

Para aprender más sobre volúmenes: brainly.com/question/23940577

#SPJ1

3 0
2 years ago
(0,65-3,21)por(-8,12)=?
PIT_PIT [208]

Answer:  =20,7872

Step-by-step explanation:

For this exercise it is important to remember the multiplication of signs. Notice that:

(+)(+)=+\\\\(-)(-)=+\\\\(-)(+)=-\\\\(+)(-)=-

In this case you have the following expression given in the exercise:

(0,65-3,21)(-8,12)

Then you can follow the steps shown below in order to solve it:

Step 1: You must solve the subtraction of the numbers 0,65 and 3,21. Then:

=(-2,56)(-8,12)

Step 2: Now you must find the product of the decimal numbers above. In order to do that you must multiply the numbers.

(As you can notice, both are negative, therefore you know that the product will be positive).

Then, you get that the result is the following:

 =20,7872

5 0
3 years ago
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