Mia says that anytime there is a radical in an addition expression, it automatically has an irrational number as the sum. Is she correct?
1 year ago
1 year ago
Mia says that anytime there is a radical in an addition expression, it automatically has an irrational number as the sum. Is she correct?(1 point)
Responses
Yes, radicals canβt be simplified, so they must be irrational.
Yes, radicals canβt be simplified, so they must be irrational.
No, some radicals simplify to rational numbers.
No, some radicals simplify to rational numbers.
Yes, radicals are irrational.
Yes, radicals are irrational.
No, radicals always simplify to integers, so they are rational.
1 year ago
No, some radicals simplify to rational numbers.
1 year ago
How does the Closure Property prove that the sum of a rational and irrational number is irrational?(1 point)
Responses
Irrational numbers can be added or subtracted.
Irrational numbers can be added or subtracted.
The sum or difference of two rational numbers is a rational number.
The sum or difference of two rational numbers is a rational number.
The sum or difference of a rational and irrational number is a rational number.
The sum or difference of a rational and irrational number is a rational number.
The sum of an irrational and rational number canβt be predicted.
1 year ago
The sum or difference of a rational and irrational number is a rational number.
1 year ago
What type of number will result from the expression 19ββββ32?(1 point)
Responses
an irrational number
an irrational number
a rational number
a rational number
an integer
an integer
a whole number
1 year ago
The type of number that will result from the expression 19ββββ32 is an irrational number.
1 year ago
Ryiaz claims it is impossible to prove that a rational number multiplied by an irrational number gives an irrational product. How can you prove this?(1 point)
Responses
by using a proof by contradiction to show multiplication is a closed operation for rational numbers
by using a proof by contradiction to show multiplication is a closed operation for rational numbers
by choosing random numbers to plug into multiplication problems until heβs convinced
by choosing random numbers to plug into multiplication problems until heβs convinced
Heβs correct; it is impossible to prove in any way.
Heβs correct; it is impossible to prove in any way.
by creating a proof that shows directly how multiplying a rational and irrational number leads to an irrational answer
1 year ago
By creating a proof that shows directly how multiplying a rational and irrational number leads to an irrational answer.
1 year ago
Question
Find the product of 12βββ and 56. What type of number is it?(1 point)
Responses
4.2974 . . . ; an irrational number
4.2974 . . . ; an irrational number
4.1569 . . . ; an irrational number
4.1569 . . . ; an irrational number
2.8867 . . . ; an irrational number
2.8867 . . . ; an irrational number
2.6307 . . . ; an irrational number
1 year ago