Rational & Irrational Numbers

Rational & Irrational Numbers

Express/Simplify a surd in its simplest form

 $\sqrt{\frac{a}{b}}=\sqrt{\frac{a}{b}}$  

 $\sqrt{a\times b}=\sqrt{a}\times\sqrt{b}$  

Evaluate the following expression

 $\sqrt{484}=\sqrt{4\times121}=\sqrt{4}\times\sqrt{121}=2\times11=22$  

 $\sqrt{324}=\sqrt{9\times36}=\sqrt{9}\times\sqrt{36}=3\times6=18$  

Evaluate the following expression

 $\sqrt{\frac{49}{121}}=\frac{\sqrt{49}}{\sqrt{121}}=\frac{7}{11}$  

 $\sqrt{\frac{169}{25}}=\frac{\sqrt{169}}{\sqrt{25}}=\frac{13}{5}$  

Multiple Choice

 $\sqrt{72}$  

•  $4\sqrt{8}$  

•  $6\sqrt{2}$  

•  $2\sqrt{6}$  

•  $4\sqrt{4}$  

Multiple Choice

 $\sqrt{37}$  

•  $\sqrt{37}$  

•  $3\sqrt{9}$  

•  $3\sqrt{4}$  

•  $2\sqrt{3}$  

Multiple Choice

 $\sqrt{48}$  

•  $3\sqrt{4}$  

•  $4\sqrt{3}$  

•  $3\sqrt{12}$  

•  $4\sqrt{4}$  

Multiple Choice

 $\sqrt{63}$  

•  $\sqrt{63}$  

•  $7\sqrt{3}$  

•  $3\sqrt{7}$  

•  $3\sqrt{17}$