The product of 4√27 and 5√3 in simplest form is 180. Thus, the result obtained is a rational number
<h3>Surd operation</h3>
Surd multiplication can be carried out as illustrated below:
a√b × c√d = (a × c)√(b × d)
<h3>How to determine the product of 4√27 and 5√3</h3>
The product of 4√27 and 5√3 can obtained as illustrated below:
a√b × c√d = (a × c)√(b × d)
4√27 × 5√3 = (4 × 5)√(27 × 3)
4√27 × 5√3 = 20√81
But
√81 = 9
Thus,
4√27 × 5√3 = 20 × 9
4√27 × 5√3 = 180
Therefore, the product of 4√27 and 5√3 is 180
<h3>What are rational numbers?</h3>
These are number that are expressed as a ratio of two integers inwhich the denominator is not equal to zero
Considering that the product of 4√27 and 5√3 is 180, we can thus say that 180 is a rational number since it can be written as 180 : 1 (or 180 / 1)
Therefore, was can conclude that the result obtained from the product of 4√27 and 5√3 is a rational number
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Check the picture below.
so the hyperbola looks more or less like so, with a = 6, and its center at the origin.
Answer:
M=multiply to the 2 then what it is 5x3 so. 15x2=30m
Given the basis β={(1,−1,3),(−3,4,9),(2,−2,4)}β={(1,−1,3),(−3,4,9),(2,−2,4)} and x=(8,−9,6)x=(8,−9,6), I am to find the corresponding coordinate vector [x]β[x]β. I claim that the coordinate vectors entries x1,x2,x3x1,x2,x3 meet the following criterion:
x1(1,−1,3)+x2(−3,4,9)+x3(2,−2,4)=(8,−9,6)x1(1,−1,3)+x2(−3,4,9)+x3(2,−2,4)=(8,−9,6)This is equivalent to solving the augmented matrix
⎡⎣⎢1−13−3492−248−96⎤⎦⎥[1−328−14−2−93946]which is row equivalent to
⎡⎣⎢100−31020−18−10⎤⎦⎥