Math, asked by koushiDas89, 4 days ago

Simplify root
 \sqrt[3]{700 \times 5 \times  (- 98} )
please answer correctly ​

Answers

Answered by divyata66
1

Answer:

70 \sqrt[3]{( - 1)}

Step-by-step explanation:

 \sqrt[3]{700 \\  \\  \times 5 \times ( - 98) \\  \\ }    \\  =  \sqrt[3]{7 \times 100 \times 5 \times ( -2 \times 49)}   \\  =  \sqrt[3]{7 \times 25 \times 4 \times 5 \times( - 2 \times 7 \times 7}  \\  =  \sqrt[3]{7 \times 5 \times 5 \times 2 \times 2 \times 5(2 \times 7 \ \times 7 \times ( - 1)}  \\  =  \sqrt[3]{7 \times 7 \times 7 \times 5 \times 5 \times 5 \times 2 \times 2 \times 2 \times ( - 1)}  \\  = 7 \times 5 \times 2 \sqrt[3]{( - 1)}   \\ = 70 \sqrt[3]{ ( - 1)}

Answered by kashok34118
1

begin{gathered} \sqrt[3]{700 \\ \\ \times 5 \times ( - 98) \\ \\ } \\ = \sqrt[3]{7 \times 100 \times 5 \times ( -2 \times 49)} \\ = \sqrt[3]{7 \times 25 \times 4 \times 5 \times( - 2 \times 7 \times 7} \\ = \sqrt[3]{7 \times 5 \times 5 \times 2 \times 2 \times 5(2 \times 7 \ \times 7 \times ( - 1)} \\ = \sqrt[3]{7 \times 7 \times 7 \times 5 \times 5 \times 5 \times 2 \times 2 \times 2 \times ( - 1)} \\ = 7 \times 5 \times 2 \sqrt[3]{( - 1)} \\ = 70 \sqrt[3]{ ( - 1)} \end{gathered}

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