Math, asked by abdulmalik4988, 7 months ago

√6 x √27 is equal to​

Answers

Answered by singhdeepali1103
71

Answer:

9√2

Step-by-step explanation:

√27=3√3

√6=√2√3

3√3*√2√3=9√2

That's it.

Answered by pulakmath007
9

√6 × √27 = 9√2

Given :

The expression √6 × √27

To find :

Simplify the given expression

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

√6 × √27

Step 2 of 2 :

Simplify the given expression

\displaystyle \sf{  \sqrt{6} \times  \sqrt{27}   }

\displaystyle \sf{  =  \sqrt{6 \times 27} }

\displaystyle \sf{  =  \sqrt{2 \times 3 \times 3 \times 3 \times 3} }

\displaystyle \sf{  =  \sqrt{2 \times  {3}^{2} \times  {3}^{2}  } }

\displaystyle \sf  =(3 \times 3)  \sqrt{2  }

\displaystyle \sf   = 9 \sqrt{2  }

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