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Efectuati calculele:
a) ( √5-1)[tex] ^{2} [/tex]+√20
b) (√10-3)[tex]^{2} [/tex]+√20*√18
c) 3(√3+1)[tex] ^{2} [/tex]-2(√3-2)[tex] x^{2} [/tex]


Sagot :

[tex] \sqrt{(5 - 1)^{2}} + \sqrt{20} [/tex]

[tex] \sqrt{4^{2}} + \sqrt{4 * 5} [/tex]

[tex] \sqrt{16} + \sqrt{4} \sqrt{5} [/tex]

[tex]4 + 2 \sqrt{5} [/tex]

[tex]4\sqrt{5} + 2 \sqrt{5} [/tex]

[tex]6 \sqrt{5} [/tex]


[tex] \sqrt{(10 - 3)^{2}} + \sqrt{20 * 18} [/tex]

[tex] \sqrt{7^{2}} + \sqrt{4 * 9 * 5 * 2} [/tex]

[tex] \sqrt{49} + \sqrt{36 * 10} [/tex]

[tex]7 + \sqrt{36}\sqrt{10} [/tex]

[tex]7 + 6\sqrt{10} [/tex]

[tex]7\sqrt{10} + 6\sqrt{10} [/tex]

[tex]13\sqrt{10} [/tex]


[tex] \sqrt[3]{(3 + 1)^{2}} - \sqrt{(3 - 2)x^{2} [/tex]

[tex] \sqrt[3]{4^{2}} - \sqrt{x^{2} [/tex]

[tex] \sqrt[3]{16} - x[tex]

[tex] \sqrt[3]{8 * 2} - x[/tex]

[tex] \sqrt[3]{8} \sqrt[3]{2} - x [/tex]

[tex]2\sqrt[3]{2} - x[/tex]




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