Question

Vreau rezolvarea, va rog! ​

Answer 1

29.

a)

$\sqrt{ {6}^{3} \times 6 } = \sqrt{ {6}^{4} } = {6}^{2} = 36$

b)

$\sqrt{ {11}^{4} \times 9 } = \sqrt{ {11}^{4} \times {3}^{2} } =$

$= {11}^{2} \times 3 = 121 \times 3 = 363$

c)

$\sqrt{ {2}^{6} \times {3}^{4} \times 25} = \sqrt{ {2}^{6} \times {3}^{4} \times {5}^{2} } =$

$= {2}^{3} \times {3}^{2} \times 5 = 8 \times 9 \times 5 =$

=360

d)

$\sqrt{196 \times {2}^{6} \times 81} =$

$= \sqrt{ {14}^{2} \times {2}^{6} \times {9}^{2} } =$

$= 14 \times {2}^{3} \times 9 =$

=14×8×9=1008

e)

$\sqrt{ {15}^{2} - {9}^{2} \ + {5}^{2} } =$

$= \sqrt{225 - 81 + 25} =$

$\sqrt{169} = 13$

f)

$\sqrt{ {72}^{2} - {71}^{2} + {5}^{2} + 1} =$

$= \sqrt{5184 - 5041 + 25 + 1} =$

$= \sqrt{143 + 25 + 1} =$

$= \sqrt{169} = 13$

g)

$\sqrt{7 \times ( {12}^{2} - {9}^{2} )} =$

$= \sqrt{7 \times (144 - 81)} =$

$= \sqrt{7 \times 63} = \sqrt{ {7}^{2} \times {9}^{2} } =$

$= 7 \times 3 = 21$

h)

$\sqrt{ {2}^{8} ( {7}^{2} - {2}^{4} \times 3)} =$

$\sqrt{ {2}^{8} \times (49 - 48) } =$

$\sqrt{ {2}^{8} \times 1 } = \sqrt{ {2}^{8} } = {2}^{4} = 16$