Question

me pueden ayudar xfa es urgente . radicación de radicales​

Answer 1

$\sqrt[3]{2 \sqrt{3 \sqrt{3} } } = \sqrt[3]{2 \sqrt{ \sqrt{ {3}^{2} \times 3} } } \\ \sqrt[3]{2 \sqrt[2 \times 2]{ {3}^{3} } } = \sqrt[3]{ \sqrt[4]{ {2}^{4} \times {3}^{3} } } \\ \sqrt[3 \times 4]{ {2}^{4} \times {3}^{3} } = \sqrt[12]{ {2}^{4} \times {3}^{3} }$

$\sqrt{ \sqrt[5]{ {m}^{7} \times {n}^{2} } } = \sqrt[2 \times 5]{ {m}^{7} \times {n}^{2} } \\ \sqrt[10]{ {m}^{7} \times {n}^{2} }$

$\sqrt{x \sqrt{ {x}^{2} \sqrt{x} } } = \sqrt{x \sqrt{ \sqrt{ {x}^{4} \times x} } } \\ \sqrt{x \sqrt[2 \times 2]{ {x}^{4 + 1} } } = \sqrt{x \sqrt[4]{ {x}^{5} } } \\ \sqrt{ \sqrt[4]{ {x}^{4} \times {x}^{5} } } = \sqrt[2 \times 4]{ {x}^{4 + 5} } \\ \sqrt[8]{ {x}^{9} }$

$\sqrt{45 + \sqrt{19 - \sqrt{9} } } = \sqrt{45 + \sqrt{19 - 3} } \\ \sqrt{45 + \sqrt{16} } = \sqrt{45 + 4} = \sqrt{49 } = 7$