Włącz czynnik pod pierwiastek.
a).
b).
c).
d).
e).
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a).![3\sqrt[4]{2} = \sqrt [4]{3^4\cdot 2} = \sqrt[4]{81 \cdot 2} = \sqrt[4]{162} 3\sqrt[4]{2} = \sqrt [4]{3^4\cdot 2} = \sqrt[4]{81 \cdot 2} = \sqrt[4]{162}](https://tex.z-dn.net/?f=3%5Csqrt%5B4%5D%7B2%7D+%3D+%5Csqrt+%5B4%5D%7B3%5E4%5Ccdot+2%7D+%3D+%5Csqrt%5B4%5D%7B81+%5Ccdot+2%7D+%3D+%5Csqrt%5B4%5D%7B162%7D)
b).![5\sqrt[4]{4} = \sqrt [4]{5^4\cdot 4} = \sqrt[4]{625 \cdot 4} = \sqrt[4]{2500} 5\sqrt[4]{4} = \sqrt [4]{5^4\cdot 4} = \sqrt[4]{625 \cdot 4} = \sqrt[4]{2500}](https://tex.z-dn.net/?f=5%5Csqrt%5B4%5D%7B4%7D+%3D+%5Csqrt+%5B4%5D%7B5%5E4%5Ccdot+4%7D+%3D+%5Csqrt%5B4%5D%7B625+%5Ccdot+4%7D+%3D+%5Csqrt%5B4%5D%7B2500%7D)
c).![4\sqrt[5]{2} = \sqrt [5]{4^5\cdot 2} = \sqrt[5]{1024 \cdot 2} = \sqrt[5]{2048} 4\sqrt[5]{2} = \sqrt [5]{4^5\cdot 2} = \sqrt[5]{1024 \cdot 2} = \sqrt[5]{2048}](https://tex.z-dn.net/?f=4%5Csqrt%5B5%5D%7B2%7D+%3D+%5Csqrt+%5B5%5D%7B4%5E5%5Ccdot+2%7D+%3D+%5Csqrt%5B5%5D%7B1024+%5Ccdot+2%7D+%3D+%5Csqrt%5B5%5D%7B2048%7D)
d).![10\sqrt[6]{0,01} = \sqrt [6]{10^6\cdot 0,01} = \sqrt[6]{1000000 \cdot 0,01} = \sqrt[6]{10000} 10\sqrt[6]{0,01} = \sqrt [6]{10^6\cdot 0,01} = \sqrt[6]{1000000 \cdot 0,01} = \sqrt[6]{10000}](https://tex.z-dn.net/?f=10%5Csqrt%5B6%5D%7B0%2C01%7D+%3D+%5Csqrt+%5B6%5D%7B10%5E6%5Ccdot+0%2C01%7D+%3D+%5Csqrt%5B6%5D%7B1000000+%5Ccdot+0%2C01%7D+%3D+%5Csqrt%5B6%5D%7B10000%7D)
e).![2\sqrt[10]{5} = \sqrt [10]{2^10\cdot 5} = \sqrt[10]{1024 \cdot 5} = \sqrt[10]{5120} 2\sqrt[10]{5} = \sqrt [10]{2^10\cdot 5} = \sqrt[10]{1024 \cdot 5} = \sqrt[10]{5120}](https://tex.z-dn.net/?f=2%5Csqrt%5B10%5D%7B5%7D+%3D+%5Csqrt+%5B10%5D%7B2%5E10%5Ccdot+5%7D+%3D+%5Csqrt%5B10%5D%7B1024+%5Ccdot+5%7D+%3D+%5Csqrt%5B10%5D%7B5120%7D)