Question

Solve seven square root three plus two square root nine and explain whether the answer is rational or irrational.

Answer 1

The answer is $7\sqrt{3}$ + 6, and it is irrational because the part

$7\sqrt{3}$ is irrational

Step-by-step explanation:

Let us revise the meaning of rational and irrational number

1. A number is rational if we can write it as a fraction where the top

   number of the fraction and bottom number are both whole numbers

2. An irrational number is a number that cannot be written as a ratio of

    two integers

∵ Seven square root three = $7\sqrt{3}$

∵ Two square root nine = $2\sqrt{9}$

∵ $\sqrt{9}=3$

∴ Two square root nine = 2(3) = 6

∴ Seven square root three plus two square root nine = $7\sqrt{3}$ + 6

∵ $7\sqrt{3}$ is an irrational number

- If the part of the answer is irrational, then the answer is irrational

∴ $7\sqrt{3}$ + 6 is irrational number

The answer is $7\sqrt{3}$ + 6, and it is irrational because the part

$7\sqrt{3}$ is irrational

Learn more:

You can learn more about rational numbers in brainly.com/question/10894205

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