Respuesta:
la primera parte
1.9
2.10
3.3
4.6
5.2
6.6
7.1
8.7
1)
[tex] \sqrt{81} = 9 \: Porque \: \sqrt{81} = \sqrt{9 {}^{2} } = 9 × 9 = 81 \\ \\
\sqrt{100} = 10 \: Porque \: \sqrt{100| } = \sqrt{10 {}^{2} } = 10 × 10 = 100 \\ \\ \sqrt[3]{27}
= 3 \: Porque \: \sqrt[3]{27} = \sqrt[3]{3 {}^{3} } = 3 \times 3 \times 3 = 27 \\ \\ \sqrt[3]{216} = 6 \: Porque \: \sqrt[3]{216} = \sqrt[3]{6 {}^{3} } = 6 \times 6 \times 6 = 216 \\ \\ \sqrt[5]{32} = 2 \: Porque \: \sqrt[5]{32} = \sqrt[5]{2 {}^{5} } = 2 \times 2 \times 2 \times 2 \times 2 = 32 \\ \\ \sqrt{36} = 6 \: Porque \: \sqrt{36} = \sqrt{6 {}^{2} } = 6 \times 6 = 36 \\ \\ \sqrt[8]{1} = 1 \: Porque \: toda \: raíz \: de \: 1 \: es \: igual a 1 \\ \\ \sqrt[3]{243} = 6.240 \: Porque \: \sqrt[3]{243} = 3 \sqrt[3]{3 {}^{2} } = 3 \sqrt[3]{9}
[/tex]
2)
[tex] \sqrt{a} = 7 \\ \: \: \: \sqrt{a {}^{2} } = 7 {}^{2} = 7 \times 7 = 49 \\ \sqrt{49} = 7 \\ a = 49 \\ \\ \sqrt{b} = 11 \\ \sqrt{b} {}^{2} = 11 {}^{2} \\ b = 11 {}^{2} = 11 \times 11 = 121 \\ \sqrt{121} = 11 \\ \\ \sqrt[3]{a} = \\ \sqrt[3]{a} {}^{3} = 7 {}^{3} \\ a = 7 {}^{3} = 7 \times 7 \times 7 = 343 \\ \sqrt[3]{343} = 7 \\ a = 343 \\ \\ \sqrt[4]{a} = 5 \\ \sqrt[4]{a} {}^{4} = 5 {}^{4} \\ a = 5 {}^{4} = 5 \times 5 \times 5 \times 5 = 625 \\ \sqrt[4]{625} = 5 \\ a = 625 \\ \\ \sqrt[6]{m} = 2 \\ \sqrt[6]{m} {}^{6} = 2 {}^{6} \\ m = 2 {}^{6} = 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 64 \\ \sqrt[6]{64} = 2 \\ m = 64[/tex]
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Respuesta:
la primera parte
1.9
2.10
3.3
4.6
5.2
6.6
7.1
8.7
Verified answer
1)
[tex] \sqrt{81} = 9 \: Porque \: \sqrt{81} = \sqrt{9 {}^{2} } = 9 × 9 = 81 \\ \\
\sqrt{100} = 10 \: Porque \: \sqrt{100| } = \sqrt{10 {}^{2} } = 10 × 10 = 100 \\ \\ \sqrt[3]{27}
= 3 \: Porque \: \sqrt[3]{27} = \sqrt[3]{3 {}^{3} } = 3 \times 3 \times 3 = 27 \\ \\ \sqrt[3]{216} = 6 \: Porque \: \sqrt[3]{216} = \sqrt[3]{6 {}^{3} } = 6 \times 6 \times 6 = 216 \\ \\ \sqrt[5]{32} = 2 \: Porque \: \sqrt[5]{32} = \sqrt[5]{2 {}^{5} } = 2 \times 2 \times 2 \times 2 \times 2 = 32 \\ \\ \sqrt{36} = 6 \: Porque \: \sqrt{36} = \sqrt{6 {}^{2} } = 6 \times 6 = 36 \\ \\ \sqrt[8]{1} = 1 \: Porque \: toda \: raíz \: de \: 1 \: es \: igual a 1 \\ \\ \sqrt[3]{243} = 6.240 \: Porque \: \sqrt[3]{243} = 3 \sqrt[3]{3 {}^{2} } = 3 \sqrt[3]{9}
[/tex]
2)
[tex] \sqrt{a} = 7 \\ \: \: \: \sqrt{a {}^{2} } = 7 {}^{2} = 7 \times 7 = 49 \\ \sqrt{49} = 7 \\ a = 49 \\ \\ \sqrt{b} = 11 \\ \sqrt{b} {}^{2} = 11 {}^{2} \\ b = 11 {}^{2} = 11 \times 11 = 121 \\ \sqrt{121} = 11 \\ \\ \sqrt[3]{a} = \\ \sqrt[3]{a} {}^{3} = 7 {}^{3} \\ a = 7 {}^{3} = 7 \times 7 \times 7 = 343 \\ \sqrt[3]{343} = 7 \\ a = 343 \\ \\ \sqrt[4]{a} = 5 \\ \sqrt[4]{a} {}^{4} = 5 {}^{4} \\ a = 5 {}^{4} = 5 \times 5 \times 5 \times 5 = 625 \\ \sqrt[4]{625} = 5 \\ a = 625 \\ \\ \sqrt[6]{m} = 2 \\ \sqrt[6]{m} {}^{6} = 2 {}^{6} \\ m = 2 {}^{6} = 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 64 \\ \sqrt[6]{64} = 2 \\ m = 64[/tex]