Math, asked by sakshiydv79, 3 months ago

how we can multiply the √3×√3 = please give answer step by step​

Answers

Answered by morankhiraj
41

Answer:

 \sqrt{3 \:}  \times  \sqrt{3}  = 3

The answer is 3 because whenever we multiply a number under rooted of same number, our result comes as a single number.

Example:

1.

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

Or

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

2.

53 =  \sqrt{53}  \times  \sqrt{53}

Answered by sinha396
1139

 \huge{ \red{ \mathfrak{Answer:}}}

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 \sqrt{3}  \times  \sqrt{3}  = 3

 \red{ \sqrt{3 } \:  can \: be \: written \: as \:   \: {3}^{ \frac{1}{2} } } \\  \\  \blue{Therefore,} \\  \\     \purple{{3}^{ \frac{1}{2} } \times  {3}^{ \frac{1}{2} } } \\     \purple{ = {3}^{ (\frac{1}{2} +  \frac{1}{2}  )}  }\\ \purple{    =  {3}^{ \frac{1 + 1}{2} }} \\     \purple{= {3}^{ \frac{2}{2} }}  \\ \   \purple{=  {3}^{1} }\\  \orange{= 3}

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