Problem of Surds :Problem 001

Submitted by Anonymous (not verified) on Mon, 11/26/2012 - 14:40

Problem 001

 

সরল করো:

[tex]\sqrt {32}  - 2\sqrt {18}  + 5\sqrt 2  + {2^{\frac{3}{2}}}[/tex]

 

 

Solution:

 

[tex]\begin{array}{l}
 = \sqrt {16 \times 2}  - 2\sqrt {9 \times 2}  + 5\sqrt 2  + \sqrt {4 \times 2} \\
 = 4\sqrt 2  - 2 \times 3\sqrt 2  + 5\sqrt 2  + 2\sqrt 2 \\
 = 11\sqrt 2  - 6\sqrt 2 \\
 = 5\sqrt 2
\end{array}[/tex]

 

 

 

 

 

 

 

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