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

ANSWER:  

Seven square root three plus two square root nine is irrational and the value is 18.12

SOLUTION:

Given, seven square root three plus two square root nine

= seven square root three + two square root nine

We know that,  is irrational as it cannot be expressed as ratio of two integers.

Now, is also irrational, because sum of rational and irrational is always irrational.

Hence, seven square root three plus two square root nine is irrational.

The answer to the given question is irrational.

Step-by-step explanation:

A rational number can be expressed as a fraction, while irrational number is a real number that cannot be expressed as a simple fraction.

From the question,

   =

                    =

                    =

But, would give an irrational answer.

Thus, seven square root three plus two square root nine equals 18.12435565 which is irrational.

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

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step-by-step explanation: