Question

Write the simplest rationalizing factor
∛32

Answer 1

Step-by-step explanation:

Given :-

∛32

To find:-

Write the simplest rationalizing factor

∛32

Solution:-

Given sure = ∛32

It can be written as

∛[(2×2×2)×2×2]

It is clear that we have to multiply with ∛2 to get a rational number

=> ∛[(2×2×2)×2×2] ×( ∛2)

=> ∛[(2×2×2)×(2×2×2)]

=> 2×2

=> 4 is a rational number.

Answer:-

The simplest Rationalising factor of ∛32 is ∛2

Used formulae:-

• The product of ant irrational numbers is also a rational number then they are called Rationalising factors of each other.

• Every irrational number has infinitely Rationalising factors.

Answer 2

Answer:

Step-by-step explanation:

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