The given expression is an irrational number and equal to 6 times the square root of 2.
What do we mean by Rational and Irrational numbers?
Rational numbers are the numbers that can be expressed in the form p/q, where p and q are integers, q is not equal to 0, and p and q have no common factors except 1.
Irrational numbers are numbers that can not be expressed in the above form.
How do we solve the given question?
We are given an expression:
√50 + √√2,
we can simplify this expression in this way:
√50 + √2
= √5*5*2 + √2
= 5√2 + √2 (if we have the same number multiplied two times under the root, it is taken as a single time outside the root)
= (5+1)√2
= 6√2
As we know √2 is an irrational number, so its product with another number will also be irrational.
∴ The given expression is an irrational number and equal to 6 times the square root of 2.
Learn more about rational and irrational numbers at
https://brainly.com/question/20400557
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