Question

a)+(-1+6)+(-10)-

b) - {- {-4+(-6)+2-(-1)}

c) {- {+(-5+4)-3-(-2)}-(-1}

d) (-8^{2} + 5^{2} : \sqrt{5^{3} + 2^{2} . \sqrt{10^{2} + 3.7} + \sqrt{12} . \sqrt{27}











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Answer 1

Respuesta:

a)+(-1+6)+(-10)-

$=5+\left(-10\right)\\=-5$

b) - {- {-4+(-6)+2-(-1)}

$=-4-6+2-\left(-1\right)\\=-10+2-\left(-1\right)\\=-8-\left(-1\right)\\=-8+1\\=-7$

c) {- {+(-5+4)-3-(-2)}-(-1}

${- {+(-5+4)-3-(-2)}-(-1}\\-\left(-5+4\right)-3-\left(-2\right)-\left(-1\right)\\=1-3+2+1\\=1$

d) (-8^{2} + 5^{2} : \sqrt{5^{3} + 2^{2} . \sqrt{10^{2} + 3.7} + \sqrt{12} . \sqrt{27}

$(-8^{2} + 5^{2} : \sqrt{5^{3} + 2^{2} . \sqrt{10^{2} + 3.7} + \sqrt{12} . \sqrt{27}}\\\\=\frac{-39}{\sqrt{5^3+2^2\sqrt{10^2+3.7}+\sqrt{12}\sqrt{27}}}\\\\=\frac{-39}{\sqrt{125+4\sqrt{103.7}+\sqrt{12}\sqrt{27}}}\\\\=-\frac{39}{\sqrt{125+4\sqrt{103.7}+\sqrt{12}\sqrt{27}}}\\\\=-\frac{39}{\sqrt{183.73327\dots }}\\\\=-2.87720\dots$