Math, asked by shabanshukoor84, 3 months ago

simplify √75 + √800 please can anyone answer

Answers

Answered by XxxitzstylishgirlxxX
1

Answer:

√72+√800-√18

= √36×2+√400×2-√9×2

= 6√2 + 20√2-3√2

= 6+20-3(√2)

= 26- 3(√2)

= 23√2

The answer is 23√2...

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Hope this will help you....

Answered by ITZBFF
65

 \mathsf \red{Given : } \\  \\  \mathsf{ \sqrt{75} +  \sqrt{800}  }

  \mathsf{  = \sqrt{25 \times 3} +  \sqrt{400 \times 2}  } \\ \\   \mathsf{ = 5 \sqrt{3} + 20 \sqrt{2}   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: } \\  \\  \mathsf \red{values \: to \: be \: noted :  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: } \\  \\  \mathsf{ \sqrt{3} = 1.732 } \\  \\  \mathsf{ \sqrt{2}  = 1.414} \\  \\

 \mathsf \red{So } \\  \\

 =  \mathsf{5 \sqrt{3}  + 20 \sqrt{2}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \: } \\  \\  \mathsf{ = 5(1.732) + 20(1.414)} \\  \\  \mathsf{ =  \: 8.66 \:  \:  + \:  \: 28.25 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  } \\

 \mathsf{ =  \: 36.94}

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