Question

Sum of root 45+ root 180+ root 80

Answer 1

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Answer 2

Concept:

The square root of a number is the factor of that number means it gives the original number when multiplied by the same number.

Given:

√45 + √180 + √80

Find:

We are asked to find the Sum of  √45 + √180 + √80.

Solution:

We have,

√45 + √180 + √80

Now,

Find the factor of every given number,

i.e.

√(9 × 5) + √(4 × 5 × 9) + √(4 × 4 × 5)

Now,

We know that the square root of ;

4 = 2,  9 = 3

So,

We can rewrite as,

3√5 + 2 × 3√5 + 2 × 2√5

⇒ 3√5 + 6√5 + 4√5

Now, as all numbers have √5 so, add all numbers,

i.e. (3 + 6 + 4)√5

We get,

13√5

Hence we can say that the Sum of  √45 + √180 + √80 is 13√5.

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