Math, asked by sr20172301, 5 months ago

Value of √6×√8 is equal to ? *




Answers

Answered by hukam0685
6

Value of \bf \sqrt{6}  \times  \sqrt{8} is \bf \red{4 \sqrt{3}}

Given:

  •  \sqrt{6}  \times  \sqrt{8}  \\

To find:

  • Value of expression.

Solution:

Formula to be used:

  •  \sqrt{a}  \times  \sqrt{b}  =  \sqrt{ab}  \\
  •  \sqrt{a^2} =  a  \\

Step 1:

Apply the formula and write accordingly.

 \sqrt{6}  \times  \sqrt{8}  =  \sqrt{6 \times 8}  \\

or

 \sqrt{6}  \times  \sqrt{8}  =  \sqrt{48}  \\

Step 2:

Simply the expression by factorise.

 \sqrt{48}  =  \sqrt{2 \times 2 \times 2 \times 2 \times 3}  \\

or

\sqrt{48}  =  \sqrt{ {2}^{2}  \times  {2}^{2} \times 3} \\

or

 \sqrt{48}  = 2 \times 2 \sqrt{3}  \\

or

 \bf \sqrt{48}  = 4 \sqrt{3}  \\

Thus,

Value of √6×√8=4√3.

Learn more:

1) (3√49)^5 find fractional index

https://brainly.in/question/10951003

2) Find the value of the following

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Answered by mahendersharma140969
1

Answer:

√6×√8

√6×8= √48

√2×2×2×2×3

2×2√3

4√3

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