![\sqrt[8]{48^4}](https://tex.z-dn.net/?f=%20%5Csqrt%5B8%5D%7B48%5E4%7D%20)
can be rewritten as
to the
power:
Now, applying exponent rules (multiply exponent inside parentheses by the one outside parentheses), we get:
This is equivalent to
, so now, we just simplify:
So:
![\sqrt[8]{48^4} =4 \sqrt{3}](https://tex.z-dn.net/?f=%20%5Csqrt%5B8%5D%7B48%5E4%7D%20%3D4%20%5Csqrt%7B3%7D)
in our number " 2.2360667…" the 3 dots mean that the digits keep going forever, so we conclude that our number belongs to the set of irrational numbers.
<h3>
Which type of number is 2.2360667…?</h3>
We will define two types of numbers:
Rational numbers: Are these that can be written as the quotient of two integers.
Irrational numbers: Can't be written as the quotient of two integer numbers, A rational number always has an infinite number of digits after the decimal point, and there is no pattern in these digits.
Now, in our number " 2.2360667…" the 3 dots mean that the digits keep going forever, that is enough to conclude that our number belongs to the set of irrational numbers.
If you want to learn more about rational numbers:
brainly.com/question/12088221
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APPRECIATE MY ART PLS I SPENT SO LONG ON IT
Answer:
6x
Step-by-step explanation:
goes up 6, goes right one
The area of the square as a function of radius is given as A(r) = 2r^2
As given in the question a square is inscribed in a b. So the diagonals of the square will be the diameter of the circle.
The formula for the diagonals of the square is,
D = s√2
Where, s = side of the square
And the formula for the diameter of the circle is,
D = 2r
Where r = radius of the circle
As, Diagonals of the square = Diameter of the circle
Thus, s√2 = 2r
s = 2r/√2
s = r√2 (1)
Now, the formula of the area of the square is,
A = s^2
Putting the value of s from equation (1) in the above formula we get
A = (r√2)^2
A = 2r^2
Hence the area of the square as a function of radius is given as A(r) = 2r^2
Learn more about area of square here : brainly.com/question/25092270
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