simplify \sqrt{324} A. 16 B. 17 C. 18 D. 19​

Question

simplify
\sqrt{324}
A. 16
B. 17
C. 18
D. 19​

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Bình An 5 years 2021-08-22T03:25:34+00:00 2 Answers 8 views 0

Answers ( )

  1. Latifah
    0
    2021-08-22T03:27:12+00:00
    Reply

    c-18
    √324= √2^2•3^4= √2^2•√3^2•3^2= √2^2•√3^2•√3^2=2•3•3=18

  2. linhdan
    0
    2021-08-22T03:27:18+00:00
    Reply

    Answer: C) 18

    Step-by-step explanation:

    Your problem → Simplify square root of 324

    First find factors of 324

    2 324

    2 162

    3 81

    3 27

    3 9

    3 3

    1

    324=2×2×3×3×3×3

    324 = 2^2 × 3^4

    Taking squareroot

    ∴√324=√2^2 × 3^4

    =2 × 3^2

    =18

    ∴ 324 is a perfect square

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