Square Root and Cube Root Questions Answers Formulas, Tips and Tricks

• 1. Square Root

  
  

  If \begin{aligned} a^2 = b \end{aligned}
  then we say that say that square root of b is a.
  and if we can write it as
  \begin{aligned} \sqrt{b} = a \end{aligned}
  
  for example \begin{aligned} \sqrt{9} = 3 \end{aligned}

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• 2. Cube Root

  
  

  The cube root of a number n is the number whose cube is n.
  We denote the cube root of n by
  \begin{aligned} \sqrt[3]{x} \\
  \text{We can write as,} \\
  
  \sqrt[3]{64} = \sqrt[3]{4*4*4} \\
  = 4
  \end{aligned}
  

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• 3. Important results for square root

  
  

  \begin{aligned}
  \sqrt{ab} = \sqrt{a}\times\sqrt{b} \\
  \sqrt{\frac{a}{b}} = \frac{\sqrt{a}}{\sqrt{b}} = \frac{\sqrt{a}}{\sqrt{b}}\times\frac{\sqrt{b}}{\sqrt{b}} = \frac{\sqrt{ab}}{b}
  \end{aligned}

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Square Root and Cube Root Questions Answers