Please help me 4 \sqrt{144a {12b {3}^(?) }^(?) }

asked Jan 1, 2022 72.8k views

18 votes

Please help me

$4 \sqrt{144a {12b {3}^(?) }^(?) }$

$Please help me 4 \sqrt{144a {12b {3}^(?) }^(?) } -example-1$

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7 votes

Answer:

option A

Explanation:

144 = 4 * 4 * 3 * 3 = 2 * 2 * 2 *2 * 3 * 3 = 2⁴* 3²

a¹² = a⁽³ˣ⁴⁾ = (a³)⁴

$\sqrt[4]{144a^(12)b^(3)} =\sqrt[4]{2^(4)*3^(2)*(a^(3))^(4)*b^(3)}\\\\=2*a^(3)\sqrt[4]{3*3*b^(3)}\\\\=2a^(3)\sqrt[4]{9b^(3)}$

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