Question

Please help me 0" id="TexFormula1" title="4 \sqrt{144a {12b {3}^{?} }^{?} } " alt="4 \sqrt{144a {12b {3}^{?} }^{?} } " align="absmiddle" class="latex-formula">
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Answer 1

Answer:

option A

Step-by-step explanation:

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

a¹² = a⁽³ˣ⁴⁾ = (a³)⁴

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