Question

Rút gọn:

a)\(\sqrt{5-2\sqrt{6}}\)

b)\(\sqrt{7-2\sqrt{6}}\)

C)\(\sqrt{4x^6}\)(\(x\le0\))

d)\(\sqrt{\frac{12x^2y^4}{25}}\)(\(x\ge0\))

Answer 1

a) \(\sqrt{5-2\sqrt{6}}=\sqrt{3-2\cdot\sqrt{3}\cdot\sqrt{2}+2}=\sqrt{\left(\sqrt{3}-\sqrt{2}\right)^2}=\sqrt{3}-\sqrt{2}\)

b) \(\sqrt{7-2\sqrt{6}}=\sqrt{6-2\cdot\sqrt{6}+1}=\sqrt{\left(\sqrt{6}-1\right)^2}=\sqrt{6}-1\)

c) \(\sqrt{4x^6}=\sqrt{\left(2x^3\right)^2}=2\left|x^3\right|=-2x^3\)

d) \(\sqrt{\frac{12x^2y^4}{25}}=\frac{xy^2\sqrt{12}}{5}\)

Answer 2

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