What is true about the sum (square root of 50) + (square root of 18)?

Solution:

The squares and square roots are the most important and basic concepts in mathematics. They have many interesting properties and identities.

The problem is to simplify the expression (√50 + √18)

Let us expand each term of the given expression.

√50 = √(5 × 5 × 2) = 5√2

√18 = √(3 × 3 × 2) = 3√2

Now, (√50 + √18) = 5√2 + 3√2 = 8√2

Hence, we know that 8√2 is an irrational number.

Thus, it is also true that (√50 + √18) is irrational. 

Hence, the sum (square root of 50) + (square root of 18) is irrational and equal to (8 square root of 2).

What is true about the sum (square root of 50) + (square root of 18)?

Summary:

The sum (square root of 50) + (square root of 18) is irrational and equal to (8 square root of 2).