How does the Closure Property prove that the sum of a rational and irrational number is irrational?(1 point)
Responses
The sum of an irrational and rational number can’t be predicted.
The sum of an irrational and rational number can’t be predicted.
The sum or difference of two rational numbers is a rational number.
The sum or difference of two rational numbers is a rational number.
Irrational numbers can be added or subtracted.
Irrational numbers can be added or subtracted.
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 or difference of a rational and irrational number is NOT always a rational number.
that didn't help, choose one
Mia says that anytime there is a radical in an addition expression, it automatically has an irrational number as the sum. Is she correct?
choose one
Yes, radicals are irrational.
Yes, radicals are irrational.
No, radicals always simplify to integers, so they are rational.
No, radicals always simplify to integers, so they are rational.
No, some radicals simplify to rational numbers.
No, some radicals simplify to rational numbers.
Yes, radicals can’t be simplified, so they must be irrational.
No, some radicals simplify to rational numbers.
What type of number will result from the expression 19−−√−3/2?
an integer
an integer
a rational number
a rational number
a whole number
a whole number
an irrational number
an irrational number
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
He’s correct; it is impossible to prove in any way.
He’s 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
by creating a proof that shows directly how multiplying a rational and irrational number leads to an irrational answer
by choosing random numbers to plug into multiplication problems until he’s
by creating a proof that shows directly how multiplying a rational and irrational number leads to an irrational answer
Find the product of 12−−√ and 5/6. What type of number is it?(1 point)
Responses
4.2974 . . . ; an irrational number
4.2974 . . . ; an irrational number
2.8867 . . . ; an irrational number
2.8867 . . . ; an irrational number
2.6307 . . . ; an irrational number
2.6307 . . . ; an irrational number
4.1569 . . . ; an irrational number