Question

Among the following the simplest R.F of 2√20 is
a) 4√5
b) √20
c) 2√5
d) √5​

Answer 1

Answer:

a) is the correct answer.

Step-by-step explanation:

2√20

=2√2×2×5

=2×2√5

=4√5

Answer 2

The simplest R.F of 2√20 is 4√5. Hence Option A is correct

Solution:

We have to find out the simplest root factor of $2\sqrt{20}$

Let us first find out the factors of 20

The factors of 20 are $20 = 2 \times 2 \times 5$

Now the expression $2\sqrt{20}$ can be written as

$2\sqrt{20} = 2\sqrt{2 \times 2 \times 5}$

$2\sqrt{20} = 2\sqrt{2^2 \times 5}$

$2^2$ can be taken out of square root and it becomes 2

$2\sqrt{20} = 2 \times 2 \sqrt{5}\\\\2\sqrt{20} = 4\sqrt{5}$

Hence the simplest R.F of $2\sqrt{20}$ is $4\sqrt{5}$

Thus Option A is correct

Learn more about simple root factor

Which is the simplest rationalisation factor of square root of 50?

https://brainly.in/question/596290

Find the simplest rationalising factor of 4th root 48

https://brainly.in/question/1708591