math

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.

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  1. Okay! So I know how to explain number 3, I just need to know if they're irrational numbers or not!

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  2. #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

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  3. So, would #1 be 38 and 42?

    And for #3, A would be rational and B wouldn't, right?

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  4. correct

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  5. Thank you~!

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