Question

subtract (3√3-2√5) from (2√12+4√80)​

Answer 1

Step-by-step explanation:

2√12+4√80-(3√3-2√5)

=2√12 +4√80 -3√3+ 2√5

2√(4×3) + 4√(5×4×4)-3√3+2√5

=2×2√3 + 4×4√5-3√3+2√5

=4√3+16√5-3√3+2√5

=√3(4-3)+√5(16+2)

=√3+18√5

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Answer 2

Given,

Value of Minuend is = (2√12 + 4√80)

Value of Subtrahend= (3√3 - 2√5)

To find,

The difference between Minuend and Subtrahend.

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

Here, we will be using general method of subtraction of surds. (we have to simplify the surds first, then they will be added or subtracted with each other.l)

Now,

= (2√12 + 4√80) - (3√3 - 2√5)

= [2×√(4×3) + 4×√(16×5)] - (3√3 - 2√5)

= (4√3 + 16√5) - (3√3 - 2√5)

= 4√3 + 16√5 - 3√3 + 2√5

= √3 + 18√5

[This cannot be further simplified and that's why this will be considered as the final result.]

Hence, the result of the subtraction is (√3 + 18√5)