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a)
![5 \frac{1}{4} = \frac{21}{4} = \sqrt{ \frac{21}{4} } = \frac{ \sqrt{21} }{2} 5 \frac{1}{4} = \frac{21}{4} = \sqrt{ \frac{21}{4} } = \frac{ \sqrt{21} }{2}](https://tex.z-dn.net/?f=5+%5Cfrac%7B1%7D%7B4%7D+%3D+%5Cfrac%7B21%7D%7B4%7D+%3D++%5Csqrt%7B+%5Cfrac%7B21%7D%7B4%7D+%7D+%3D+%5Cfrac%7B+%5Csqrt%7B21%7D+%7D%7B2%7D+)
b)
![2 \frac{2}{3} = \frac{8}{3} = \sqrt{ \frac{8}{2} }= \frac{2}{3} \sqrt{2} 2 \frac{2}{3} = \frac{8}{3} = \sqrt{ \frac{8}{2} }= \frac{2}{3} \sqrt{2}](https://tex.z-dn.net/?f=2+%5Cfrac%7B2%7D%7B3%7D+%3D+%5Cfrac%7B8%7D%7B3%7D+%3D+%5Csqrt%7B+%5Cfrac%7B8%7D%7B2%7D+%7D%3D+%5Cfrac%7B2%7D%7B3%7D++%5Csqrt%7B2%7D+)
c)![\frac{2}{15} = \frac{ \sqrt{2} }{ \sqrt{15} } = \frac{ \sqrt{2} }{ \sqrt{15} } . \frac{ \sqrt{15} }{ \sqrt{15} } = \frac{ \sqrt{30} }{ \sq15 } \frac{2}{15} = \frac{ \sqrt{2} }{ \sqrt{15} } = \frac{ \sqrt{2} }{ \sqrt{15} } . \frac{ \sqrt{15} }{ \sqrt{15} } = \frac{ \sqrt{30} }{ \sq15 }](https://tex.z-dn.net/?f=+%5Cfrac%7B2%7D%7B15%7D+%3D++%5Cfrac%7B+%5Csqrt%7B2%7D+%7D%7B+%5Csqrt%7B15%7D+%7D+%3D++%5Cfrac%7B+%5Csqrt%7B2%7D+%7D%7B+%5Csqrt%7B15%7D+%7D+.+%5Cfrac%7B+%5Csqrt%7B15%7D+%7D%7B+%5Csqrt%7B15%7D+%7D+%3D+%5Cfrac%7B+%5Csqrt%7B30%7D+%7D%7B+%5Csq15+%7D+)
d)
![\frac{51}{2} = \frac{ \sqrt{51} }{ \sqrt{2} } . \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{ \sqrt{102} }{2} \frac{51}{2} = \frac{ \sqrt{51} }{ \sqrt{2} } . \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{ \sqrt{102} }{2}](https://tex.z-dn.net/?f=+%5Cfrac%7B51%7D%7B2%7D+%3D+%5Cfrac%7B+%5Csqrt%7B51%7D+%7D%7B+%5Csqrt%7B2%7D+%7D+.+%5Cfrac%7B+%5Csqrt%7B2%7D+%7D%7B+%5Csqrt%7B2%7D+%7D+%3D+%5Cfrac%7B+%5Csqrt%7B102%7D+%7D%7B2%7D+)
b)
c)
d)
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