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# Which statement is true about the sum square root of 50 square root of 18?

It is rational and equal to 2.

It is rational and equal to 8.

It is irrational and equal to 2 square root of 2.

It is irrational and equal to 8 square root of 2.

**Solution:**

It is given that

Sum square root of 50 square root of 18

We can write it as

√50 + √18

Let us expand each expression

√50 = √(5 × 5 × 2) = 5√2

√18 = √(3 × 3 × 2) = 3√2

Here

√50 + √18 = 5√2 + 3√2 = 8√2

8√2 is an irrational number.

√50 + √18 is also irrational.

Therefore, the statement that it is irrational and equal to 8 square root of 2 is true.

## Which statement is true about the sum square root of 50 square root of 18?

**Summary:**

The statement which is true about the sum square root of 50 square root of 18 is irrational and equal to 8 square root of 2 is true.

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