Question

Radical2645 / 144-radical 1280 / 81 +radical 245 /1296 - radical45/256​

Answer 1

Explicație pas cu pas:

$= \sqrt{ \dfrac{{23}^{2} \times 5}{ {12}^{2} } } - \sqrt{\dfrac{ {16}^{2} \times 5}{ {9}^{2} }} + \sqrt{\dfrac{{7}^{2} \times 5}{ {36}^{2} }} - \sqrt{ \dfrac{{3}^{2} \times 5}{ {16}^{2} } } = \\ = \dfrac{23 \sqrt{5} }{12} - \dfrac{16 \sqrt{5} }{9} + \dfrac{7 \sqrt{5} }{36} - \dfrac{3 \sqrt{5} }{16} \\ = \dfrac{12 \times 23 \sqrt{5} }{144} - \dfrac{16 \times 16 \sqrt{5} }{144} + \dfrac{4 \times 7 \sqrt{5} }{144} - \dfrac{9 \times 3 \sqrt{5} }{144} \\ = \dfrac{276 \sqrt{5} - 256 \sqrt{5} + 28 \sqrt{5} - 27 \sqrt{5} }{144} = \dfrac{21 \sqrt{5} }{144} = \dfrac{7 \sqrt{5} }{48}$

Answer 2

Răspuns:

Explicație pas cu pas: