1.

State whether √2 × √32 is rational or irrational​

Answer»

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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