Question

what is the simplest rationalisation factor of 3√40​

Answer 1

Answer:

right answer is 3√25

Step-by-step explanation:

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Answer 2

SOLUTION

CORRECT QUESTION

Complete question is referred to the link :

https://brainly.in/question/46408539

TO CHOOSE THE CORRECT OPTION

Simplest rationalisation factor of 3√40 is

(a) 3 √25

(b) 3√5

(c) √40

(d) √5

EVALUATION

Here the given number is 3√40

CHECKING FOR OPTION : (a)

$\displaystyle \sf{ 3 \sqrt{40} \times 3 \sqrt{25} }$

$\displaystyle \sf{ = 9\sqrt{40 \times 25} }$

$\displaystyle \sf{ = 9\sqrt{1000} }$

$\displaystyle \sf{ = 9\sqrt{100 \times 10} }$

$\displaystyle \sf{ = 90\sqrt{ 10} }$

Which is an irrational number

So this option is not correct

CHECKING FOR OPTION : (b)

$\displaystyle \sf{ 3 \sqrt{40} \times 3 \sqrt{5} }$

$\displaystyle \sf{ = 9 \sqrt{40 \times 5} }$

$\displaystyle \sf{ = 9 \sqrt{200} }$

$\displaystyle \sf{ = 9 \sqrt{2 \times 100} }$

$\displaystyle \sf{ = 90 \sqrt{2 } }$

Which is an irrational number

So this option is not correct

CHECKING FOR OPTION : (c)

$\displaystyle \sf{ 3 \sqrt{40} \times \sqrt{40} }$

$\displaystyle \sf{ = 3 \sqrt{40 \times 40} }$

$\displaystyle \sf{ = 3 \times 40}$

$\displaystyle \sf{ = 120}$

Which is a rational number

So this option is correct

CHECKING FOR OPTION : (d)

$\displaystyle \sf{ 3 \sqrt{40} \times \sqrt{5} }$

$\displaystyle \sf{ = 3 \sqrt{40 \times 5} }$

$\displaystyle \sf = 3 \sqrt{200}$

$\displaystyle \sf = 3 \sqrt{2 \times 100}$

$\displaystyle \sf = 30 \sqrt{2}$

Which is an irrational number

So this option is not correct

FINAL ANSWER

Hence the correct option is (c) √40

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