Square root of 2(5 + square root of 8) is irrational and equal to what

Answers

We are given with two factors: square root of 2 and 5 + square root of 8. We use a scientific calculator that displays irrational answers. The product of the two factors is 4 + 5 square root of 2. The answer is irrational since the square root sign in the answer is present.
Sqrt2(5+sqrt8) = 5sqrt2 +sqrt16 = 4+5sqrt2 so result that choice D. is right sure 
Hello,

√2*(5+√8)=5√2+4
Answer D

The answer is Yes

Step-by-step explanation:

The answer is Irrational Number.

Step-by-step explanation:

In order to determine the group of numbers, we have to use the properties of root.

The number is:

\sqrt{2} *(5+\sqrt{8})\\(\sqrt{2}*5)+(\sqrt{2}*\sqrt{8})\\5*\sqrt{2} +\sqrt{16}\\5*\sqrt{2} +4

Then, we have to know three definitions:

All rational numbers can be written as fractions equation, with a being an integer and b being a natural number. Irrational numbers can not be written as fractions notation.When a prime number is inside of a square root, the number is always a irrational.

Finally, 5*\sqrt{2} +4 has a \sqrt{2}, that it is a irrational number, therefore the addition is a irrational number too.

For this case we have the following product:

\sqrt{2}(5+\sqrt{8})

Applying the distributive property we have:

5\sqrt{2}+\sqrt{2}\sqrt{8}

Then, rewriting the expression we have:

2\sqrt{2}\sqrt{2}+5\sqrt{2}

4+5\sqrt{2}

We note that the answer is a irrational number, because the square root of two is not an exact number.

4+5\sqrt{2}

It is irrational and equal to 4 + 5square root of 2.

Add a notion that can be explained to each mathmaticle term for understandable terms created to help you in the particle equasion for the natural hydration in the tiny bits created for the original notions

Hello,
√2(5+√8)=5√2+√2*√8=4+5√2


Do you know the answer?

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