If 3√5 +√125 = 17.88, then what will be the value of√80 + 6√5?a)21.66b)13.41c)44.7d)22.35Correct answer is option 'D'. Can you explain this answer?

Question

Answer

Given: 3√5 √125 = 17.88

We know that √125 = √(5 x 5 x 5) = 5√5

Therefore, 3√5 √125 can be written as 3√5 x 5√5 = 15√(5 x 5) = 15 x 5 = 75

Now we need to find the value of √80 6√5

We can write √80 as √(16 x 5) = 4√5 x 2

Therefore, √80 6√5 can be written as 4√5 x 2 + 6√5 = 8√5 + 6√5 = 14√5

Now, we need to find the value of 14√5 using the given equation 3√5 √125 = 17.88

3√5 √125 = 17.88

Substituting √125 as 5√5, we get:

3√5 x 5√5 = 17.88

15√(5 x 5) = 17.88

15 x 5 = 17.88 x 4

75 = 71.52

Dividing both sides by 75, we get:

1 = 0.9536

Now, we can find the value of 14√5 as:

14√5 = 14 x √5 x 1

= 14 x √5 x 0.9536 (multiplying by 1 on the right-hand side)

= 13.35

Therefore, the value of √80 6√5 is 13.35, which is closest to option D, i.e., 22.35. However, none of the given options match the actual value of 13.35, indicating a mistake in the question or the options.

Answer

3√5 + 5√5 is equals to 8√5 and 4√5 + 16√5 is equals to 20√5 the put 8√5 =17.88 so what is 20√5 then you will get answer

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