Which choice is equivalent to the product below? √2 x √5 x √8 A. 16√5 B. 4√20 C. 4√5. <-- correct answer D.

Question

Which choice is equivalent to the product below? √2 x √5 x √8

A. 16√5
B. 4√20
C. 4√5. <– correct answer
D. 8√10

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Thu Nguyệt 6 months 2021-08-15T06:48:38+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-08-15T06:49:44+00:00

    \sf Q) \sqrt{2} \times \sqrt{5} \times \sqrt{8}

    \sf\implies \sqrt{2 \times 5 \times 8}

    \sf\implies \sqrt{2 \times 5 \times 2 \times 2 \times 2}

    \sf\implies \sqrt{(2 \times 2) \times (2 \times 2) \times 5}

    \sf\implies \sqrt{ {2}^{2} \times {2}^{2} \times 5}

    \sf\implies \sqrt{ {2}^{2} } \times \sqrt{ {2 }^{2} } \times \sqrt{5}

    \sf\implies 2 \times 2 \sqrt{5}

    \sf\implies 4 \sqrt{5}

    0
    2021-08-15T06:50:27+00:00

    \longrightarrow{\green{   C. \:4 \sqrt{5}  }} 

    \large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}

     =  \sqrt{2}  \times  \sqrt{5}  \times  \sqrt{8}

     =  \sqrt{2 \times 5 \times 8}

     =  \sqrt{2 \times 5 \times 2 \times 2 \times 2}

     =  \sqrt{(2 \times 2) \times (2 \times 2) \times 5}

     =  \sqrt{ {2}^{2}  \times  {2}^{2}  \times 5}

     =  \sqrt{ {2}^{2} }  \times  \sqrt{ {2 }^{2} }  \times  \sqrt{5}

     = 2 \times 2 \sqrt{5}

     = 4 \sqrt{5}

    \red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}

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