Math, asked by aditya22684572, 11 months ago

√-3 √-6 is equal to​

Answers

Answered by ayushjaiswal376
19

Answer:

3√2

Step-by-step explanation:

Answered by pulakmath007
6

 \sf  \sqrt{ - 3}  \:  \sqrt{ - 6}  =  - 3 \sqrt{2}

Given : √-3 √-6

To find : The value

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

 \sf  \sqrt{ - 3}  \:  \sqrt{ - 6}

Step 2 of 2 :

Find the value

 \sf  \sqrt{ - 3}  \:  \sqrt{ - 6}

 \sf   = \sqrt{ 3 {i}^{2} }  \:  \sqrt{ 6 {i}^{2} }

 \sf   =i \sqrt{ 3 }  \times  \: i \sqrt{ 6 }

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

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

 \sf   =  -3  \sqrt{2}

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