Asked by Yui

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.

Answered by Yui
Okay! So I know how to explain number 3, I just need to know if they're irrational numbers or not!
Answered by oobleck
#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
Answered by Yui
So, would #1 be 38 and 42?

And for #3, A would be rational and B wouldn't, right?
Answered by oobleck
correct
Answered by Yui
Thank you~!
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