I need someone to check a few answers for me, please!
1. Which expression has an approximate value between 6 and 7? Select two answers.
A. √36***
B. √38
C. √42***
D. √50
2. How many decimal places does an irrational number have?
A. zero
B. one
C. infinite***
D. between one and ten
3. Determine if each root is a rational or irrational number. Explain your reasoning.
A- √36
B- √78 (this is supposed to have a 3 in the corner of it)
I think these are both irrational numbers but don't know how to explain it.
5 answers
Okay! So I know how to explain number 3, I just need to know if they're irrational numbers or not!
#1 not A -- √36 = 6
and 7^2 = 49
so pick another number between 36 and 49
#2 ok
#3 see A -- 6 is rational
also, note that
4^3 = 64
5^3 = 125
so 78 is not a perfect cube. Its cube root is irrational
and 7^2 = 49
so pick another number between 36 and 49
#2 ok
#3 see A -- 6 is rational
also, note that
4^3 = 64
5^3 = 125
so 78 is not a perfect cube. Its cube root is irrational
So, would #1 be 38 and 42?
And for #3, A would be rational and B wouldn't, right?
And for #3, A would be rational and B wouldn't, right?
correct
Thank you~!
1 answer