Oblicz.

1.
a) √81+√25, b) √121+√225, c) √0,49+√0,64, d) √2,25+√1,44, e)1/4 + √1/16,
f)1/9 − √1/100

2.
a) pierwiastek z 3√64+3√8,
b) 3√125−3√27,
c) 3√0,125+3√0,064,
d) 3√0,001−3√0,008,

e) pierwiastek z 4√81+4√625,
f) 4√14−4√0,0016,
3.  
[tex]\ \textless \ strong\ \textgreater \ a)\ \textless \ /strong\ \textgreater \ (-2)^{5}, (-2)^{-5}, 2^{-5},    \ \textless \ strong\ \textgreater \ b)\ \textless \ /strong\ \textgreater \ (\frac{1}{2})^{-2}, (-\frac{1}{3})^{-2}, (-\frac{1}{3})^{-3},   \ \textless \ strong\ \textgreater \ c)\ \textless \ /strong\ \textgreater \ (\sqrt{3}) ^{4}, (\sqrt{3}) ^{-2}, (\sqrt{3}) ^{-6},  \ \textless \ strong\ \textgreater \ d)\ \textless \ /strong\ \textgreater \ (\sqrt{2}) ^{6}, (\sqrt{2}) ^{7}, (\sqrt{2}) ^{-8} [/tex].


Odpowiedź :

Zad. 1

[tex]a)\\\sqrt{81}+\sqrt{25}=9+5=14\\\\b)\\\sqrt{121}+\sqrt{225}=11+15=26\\\\c)\\\sqrt{0.49}+\sqrt{0.64}=0.7+0.8=1.5\\\\d)\\\sqrt{2.25}+\sqrt{1.44}=1.5+1.2=2.7\\\\e)\\\\\sqrt{\frac14}+\sqrt{\frac1{16}}=\frac12+\frac14=0.5+0.25=0.75=\frac34\\\\f)\\\\\sqrt{\frac19}-\sqrt{\frac1{100}}=\frac13-\frac1{10}=\frac{10}{30}-\frac{3}{30}=\frac7{30}[/tex]

Zad. 2

[tex]\text{Rozumiem ze to sa pierwiastki trzeciego i czwartego stopnia?}\\\\\\a)\\\\\sqrt[3]{64}+\sqrt[3]8=4+2=6\\\\b)\\\\\sqrt[3]{125}-\sqrt[3]{27}=5-3=2\\\\c)\\\\\sqrt[3]{0.125}+\sqrt[3]{0.064}=0.5+0.4=0.9\\\\d)\\\\\sqrt[3]{0.001}-\sqrt[3]{0.008}=0.1-0.2=-0.1\\\\e)\\\\\sqrt[4]{81}+\sqrt[4]{625}=3+5=8\\\\f)\\\\\sqrt[4]{14}-\sqrt[4]{0.0016}=\sqrt[4]{14}-0.2 \text{ (upewnij sie ze dobrze przepisana liczba pod pierwiastkiem)}[/tex]

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