Question

Find the sum of 3√2 and √8 in simplest form. Also, determine whether the result is
rational or irrational and explain your answer.

will someone please help me i need to do more assignments and they are due today .

Answer 1

The sum of 3√2 and √8 is of 5√2, which is an irrational number, as the square root of 2 is a non-exact square root, representing a non-terminating decimal.

What are irrational numbers?

Irrational numbers are numbers that cannot be represented by fractions, such as non-exact roots and non-terminating and non-repeating decimals.

The square root of 8 can be simplified as follows:

$\sqrt{8} = \sqrt{4 \times 2} = 2\sqrt{2}$

Hence the sum is given by:

3√2 + 2√2 = 5√2.

It is an irrational number, as the square root of 2 is a non-exact square root, representing a non-terminating decimal.

More can be learned about irrational numbers at https://brainly.com/question/18451315

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