1A:
a) \(\sqrt{27x^2}=\sqrt{27}\cdot\left|x\right|=x\sqrt{27}\)
b) \(\sqrt{8xy^2}=\sqrt{8}\cdot\sqrt{x}\cdot y\)
1B:
a) \(\sqrt{25x^3}=\sqrt{25}x\sqrt{x}\)
b) \(\sqrt{48xy^4}=\sqrt{48}\cdot\sqrt{x}y^2\)
2A:
a) \(a\sqrt{13}=\sqrt{13a^2}\)
b) \(a\sqrt{-\dfrac{15}{a}}=\sqrt{a^2\cdot\dfrac{-15}{a}}=\sqrt{-15a}\)
2B:
a) \(\dfrac{a}{2}\cdot\sqrt{\dfrac{12}{a}}=\sqrt{\dfrac{a^2}{4}\cdot\dfrac{12}{a}}=\sqrt{3a}\)
b) \(a\sqrt{2}=\sqrt{2a^2}\)
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