Question

Please solve
$\sqrt{18} - \sqrt{50 }$

Answer 1

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Here is your answer---

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Given---
    √18 - √50

 Thus, Solving this,
                  √ 2 × 3 × 3 - √ 2 × 5 × 5
                          = 3√2 - 5√2
                           = (3 - 5)√2
                             = - 2√2

Thus correct answer will be -2√2.

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Answer 2

√18 - √50

⇒
        √18 can be written as √2 x √9       (  √a x √b  = √ab  )
 The same way
        √50 can be written as √2 x √25 

Write √18 - √50 like this
⇒          
          √2 x √9    -    √2 x √25
       =  √2 x 3   -   √2   x   5            (    √9 = 3, √25 = 5 )
       =  3√2 - 5√2
       =   -2√2

∴  √18 - √50 = -2√2

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