state whether √2 × √32 is rational or irrational
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IT IS AN RATIONAL NUMBER AS,
√2*√32=√64
so
√64=8
and 8 is a rational number
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ANSWER:
- √2×√32 is a rational number.
GIVEN:
- √2×√32
TO FIND:
- Value of the above expression.
SOLUTION:
= √2 × √32
= √2 × 4√2
= 4×√2×√2
= 4× 2
= 8
= 8/1
It is a rational number because it can be expressed in the form of p/q where q should not be equal to 0.
So √2×√32 is a rational number.
NOTE:
- Rational number : A number which is in the form of p/q where q should not equal to 0 and p and q have no common factor other than 1.
- Rational number have terminating decimal representation or Non terminating repeating decimal representation.
- √p is a irrational number where p is a prime number.
- Prime number : Number which have only 2 factor that is one and itself is called Prime number
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