Question 1 :
Write the name that apply to the number given below.
√5
Question 2 :
Write the name that apply to the number given below.
-16.28
Question 3 :
Write the name that apply to the number given below.
√81 / 9
Question 4 :
Write the name that apply to the number given below.
-9
Question 5 :
Write the name that apply to the number given below.
9
Question 6 :
Write the name that apply to the number given below.
2√3
Question 7 :
Write the name that apply to the number given below.
√25
Question 8 :
Write the name that apply to the number given below.
√250
Question 1 :
Write the name that apply to the number given below.
√5
Answer :
5 is in square root. It is a whole number, but it is not a perfect square.
So, √5 is irrational.
Question 2 :
Write the name that apply to the number given below.
-16.28
Answer :
–16.28 is a terminating decimal.
So, -16.28 is rational.
Question 3 :
Write the name that apply to the number given below.
√81 / 9
Answer :
Let us do the possible simplification in the given number.
√81 / 9 = 9 / 9
√81 / 9 = 1
So, √81 / 9 is whole, positive integer, integer, rational.
Question 4 :
Write the name that apply to the number given below.
-9
Answer :
-9 is negative integer, integer, rational.
Question 5 :
Write the name that apply to the number given below.
9
Answer :
9 is whole, positive integer, integer, rational.
Question 6 :
Write the name that apply to the number given below.
2√3
Answer :
We have 3 in square root. 3 is a whole number, but it is not a perfect square.
So, √3 is irrational.
We already know the fact, if an irrational number is multiplied by a rational number, the product is irrational.
Hence, 2√3 is irrational.
Question 7 :
Write the name that apply to the number given below.
√25
Answer :
25 is in square root. 25 is a whole number and also it is a perfect square.
So, we have
√25 = √(5x5) = 5
So, √25 is whole, positive integer, integer, rational.
Question 8 :
Write the name that apply to the number given below.
√250
Answer :
250 is in square root. We are not sure whether 250 is a perfect square or not.
So, let us simplify the given number.
√250 = √(5x5x5x2)
√250 = 5√(5x2)
√250 = 5√10
We have 10 in square root. 10 is a whole number, but it is not a perfect square.
So, √10 is irrational.
We already know the fact, if an irrational number is multiplied by a rational number, the product is irrational.
So, √250 is irrational.
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