To which subset of real numbers does the following number belong?
square root of seven
(1 point)
Responses
rational numbers
rational numbers
irrational numbers
irrational numbers
whole numbers, integers, rational numbers
whole numbers, integers, rational numbers
whole numbers, natural numbers, integers
irrational numbers
Which sum or difference is equivalent to the following expression?
Start Fraction 2 x plus 3 over 4 End Fraction
(1 point)
Responses
start fraction x over 2 end fraction + three-fourths
Image with alt text: start fraction x over 2 end fraction + Image with alt text: three-fourths
start fraction x over 2 end fraction – three-fourths
Image with alt text: start fraction x over 2 end fraction – Image with alt text: three-fourths
start fraction 3 x over 4 end fraction+ three-fourths
Image with alt text: start fraction 3 x over 4 end fraction + Image with alt text: three-fourths
8x + 24
The square root of seven belongs to the set of irrational numbers.
To determine which subset the square root of seven belongs to, we need to consider its properties.
The square root of seven is approximately 2.65.
A rational number is a number that can be expressed as a fraction of two integers.
Since the square root of seven cannot be expressed as a fraction of two integers, it is not a rational number.
An irrational number is a number that cannot be expressed as a fraction.
Since the square root of seven cannot be expressed as a fraction, it is an irrational number.
Therefore, the square root of seven belongs to the subset of irrational numbers.