Question

what is the rationalising factor 2 cube root 5

Answer 1

Answer:

∛25

Step-by-step explanation:

if we multiply 2∛5 with ∛25 then we get the answer as  10 which is a rational number. hence ∛25 is the rationalising factor of 2∛5.

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Answer 2

Answer:

The rationalizing factor 2 cube root 5 exists 2∛5.

Step-by-step explanation:

The expression that exists multiplied with an irrational expression to obtain a rational number exists named the "rationalizing factor".

Given:

2 cube root 5

To find:

rationalizing factor

Step 1

Let, 2 cube root 5 then

2 cube root 5 = 2 x $(5)^{1/3$

By simplifying the above equation, then we get

2 x $(5)^{1/3$× $(5)^{2/3$

2 x $(5)^{1/3$ + 2/3

2 ×$(5)^{3/3$

2 × 5 =10

Therefore, the 2 cube root 5 is 10.

Step 2

If we multiply 2∛5 by ∛25 then we get the answer as 10 which exists as a rational number.

Hence ∛25 exists the rationalizing factor of 2∛5.

Therefore, the rationalizing factor 2 cube root 5 exists 2∛5.

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