Question

Ayuda con esto: Esta en al imagen.
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Answer 1

29)
$a \sqrt{49a^2x} +2a^2 \sqrt{9x} - \sqrt{121a^4x} = \\ =a \sqrt{7^2a^2x} +2a^2 \sqrt{3^2x} - \sqrt{11^2(a^2)^2x}=\\ =a*7*a \sqrt{x} +2a^2*3 \sqrt{x} - 11*a^2\sqrt{x}=\\ =7a^2 \sqrt{x} +6a^2 \sqrt{x} - 11a^2\sqrt{x}=(7a^2+6a^2-11a^2) \sqrt{x} = \\ =2a^2 \sqrt{x}$

30)
$2m^2 \sqrt{18mn^3} -3 \sqrt{50m^5n^3} +9mn \sqrt{2m^3n} = \\ =2m^2 \sqrt{9*2*mn^2n} -3 \sqrt{25*2*m^2m^2mn^2n} +9mn \sqrt{2*m^2mn} = \\= 2m^2 \sqrt{3^2*2*mn^2n} -3 \sqrt{5^2*2*m^2m^2mn^2n} +9mn \sqrt{2*m^2mn} = \\= 2m^2*3*n \sqrt{2*mn} -3*5mmn\sqrt{2*mn} +9mnm \sqrt{2*mn} = \\ = 6m^2n \sqrt{2mn} -15m^2n\sqrt{2mn} +9m^2n \sqrt{2mn} = \\ =(6-15+9)m^2n \sqrt{2mn} =(0)*m^2n \sqrt{2mn}=0$

31)
$3y \sqrt[3]{8x^5y} +3 \sqrt[3]{x^5y^4} -4x \sqrt[3]{x^2y^4} = \\ =3y \sqrt[3]{2^3x^3x^2y} +3 \sqrt[3]{x^3x^2y^3y} -4x \sqrt[3]{x^2y^3y}= \\ =3y*2*x \sqrt[3]{x^2y} +3*x*y \sqrt[3]{x^2y} -4x*y \sqrt[3]{x^2y}= \\ =6xy \sqrt[3]{x^2y} +3xy \sqrt[3]{x^2y} -4xy \sqrt[3]{x^2y}= \\ =(6+3-4)xy \sqrt[3]{x^2y}=(5)xy \sqrt[3]{x^2y}=5xy \sqrt[3]{x^2y}$