Mathematics, 17.10.2019 19:00 fahaddakhil3186
Solve seven square root three plus two square root nine and explain whether the answer is rational or irrational.
Answers: 2
![\begin{array}{l}{=7 \sqrt[2]{3}+2 \sqrt[2]{9}} \\ {=7 \sqrt[2]{3}+2 \sqrt[2]{3^{2}}} \\ {=7 \sqrt[2]{3}+2 \times 3} \\ {=7 \sqrt[2]{3}+6}\end{array}](/tpl/images/0329/0795/1cdad.png)
![\sqrt[2]{3}](/tpl/images/0329/0795/30a2c.png)
is irrational as it cannot be expressed as ratio of two integers.![7 \sqrt[2]{3}+6](/tpl/images/0329/0795/f6d5c.png)
is also irrational, because sum of rational and irrational is always irrational.![\begin{array}{l}{\text { On solving } 7 \sqrt[2]{3}+6,} \\ {7 \sqrt[2]{3}+6=7(1.732)+6=18.12}\end{array}](/tpl/images/0329/0795/5c579.png)
= 
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Solve seven square root three plus two square root nine and explain whether the answer is rational o...
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