Question

помогите пожалуйста алгебра 10 клас​

Answer 1

$1) \sqrt[4]{32} = \sqrt[4]{2 {}^{5} } = \sqrt[4]{2 {}^{4 + 1} } = \sqrt[4]{2 {}^{4} \times 2 {}^{1} } = \sqrt[4]{2 {}^{4} \times 2 } = \sqrt[4]{2 {}^{4} } \sqrt[4]{2} = 2 \sqrt[4]{2}$

$2) \sqrt{25p} = \sqrt{5 {}^{2}p } = \sqrt{5 {}^{2} } \sqrt{p} = 5 \sqrt{p}$

$3) \sqrt[3]{27a} = \sqrt[3]{3 {}^{3} a} = \sqrt[3]{3 {}^{3} } \sqrt[3]{a} = 3 \sqrt[3]{a}$

$4) \sqrt[5]{96} = \sqrt[5]{2 {}^{5} \times 3} = \sqrt[5]{2 {}^{5} } \sqrt[5]{3} = 2 \sqrt[5]{3}$

$5) \sqrt[4]{162} = \sqrt[4]{3 {}^{4} \times 2 } = \sqrt[4]{3 {}^{4} } \sqrt[4]{2} = 3 \sqrt[4]{2}$

$6) \sqrt{72b} = \sqrt{6 {}^{2} \times 2b} = \sqrt{6 {}^{2} } \sqrt{2b} = 6 \sqrt{2b}$