Question

On adding 2√3 and 3√2 we get:
a) 5√5
b) 5(√3+√2)
c) 2√3+ 3√2
d) none of the above

Answer 1

Step-by-step explanation:

options c)

because these are not like surds.

so, we can't add them

Answer 2

The addition of numbers is $\bf 2 \sqrt{3} + 3 \sqrt{2}$.

Option C is correct.

Given:

• $2 \sqrt{3} \: and \: 3 \sqrt{2}$

To find:

• On adding 2√3 and 3√2 we get:
• a) 5√5
• b) 5(√3+√2)
• c) 2√3+ 3√2
• d) none of the above

Solution:

Concept to be used:

The numbers which are under square root (or radical sign) can be added only if they are same, otherwise not.

For eg.

$5 \sqrt{2}$ and $3 \sqrt{2}$

it is clear that in both the numbers 2 is under radical sign.

So, we can add both numbers.

$\bf 5 \sqrt{2} + 3 \sqrt{2} = 8 \sqrt{2}$

Here in the given question, both the numbers under radical sign different .

So, we can not add these numbers.

Thus,

The addition of numbers is $\bf 2 \sqrt{3} + 3 \sqrt{2}$.

Option C is correct.

Learn more:

1) Simplify (√5+√2) the whole square

https://brainly.in/question/4117666

2) if x = 3 + √8. find the value of x^2 + 1/x^2

https://brainly.in/question/4359249

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