Raspuns:
a)5,42736
b)3,16228
c)13,22876
d)10,3923
2
a)15,09565
b)5,42736
c)18,71096
d)18,7196
3
a)9,75663
b1,41421
c)17,71699
d)13,19641
Răspuns:
1) a)
[tex] - 5 \sqrt{5} [/tex]
b)
[tex]3 \sqrt{10} - 1 \sqrt{10} + 5 \sqrt{10} - 6 \sqrt{10} = [/tex]
[tex](3 - 1 + 5 - 6) \sqrt{10} = [/tex]
[tex]1 \sqrt{10} = \sqrt{10} [/tex]
c)
[tex]2 \sqrt{7} - 5 \sqrt{7} - 3 \sqrt{7} + 1 \sqrt{7} = [/tex]
[tex](2 - 5 - 3 + 1) \sqrt{7} = [/tex]
[tex] - 5 \sqrt{7} [/tex]
d)
[tex](4 - 7 + 2 - 5) \sqrt{3} = [/tex]
[tex] - 6 \sqrt{3} [/tex]
2) a)
[tex] - 3 \sqrt{3} - 7 \sqrt{2} [/tex]
[tex]2 \sqrt{5} - 7 \sqrt{2} [/tex]
[tex]3 \sqrt{5} - \sqrt{7} [/tex]
[tex]11 \sqrt{7} - 6 \sqrt{3} [/tex]
3) a)
[tex]6 \sqrt{2} - 6 \sqrt{3} - 2 {}^{2} \sqrt{2} + 10 \sqrt{3} = [/tex]
[tex]6 \sqrt{2} - 6 \sqrt{3} - 4 \sqrt{2} + 10 \sqrt{3} = [/tex]
[tex]2 \sqrt{2} + 4 \sqrt{3} [/tex]
[tex]6 \sqrt{3} + 9 \sqrt{2} - 6 \sqrt{5} - 10 \sqrt{2} = [/tex]
[tex] - \sqrt{2} [/tex]
[tex] {2}^{2} \times {2}^{2} \sqrt{2} - 15 \sqrt{3} + 4 \sqrt{3} - 10 \sqrt{2} = [/tex]
[tex] {2}^{4} \sqrt{2} - 15 \sqrt{3} + 4 \sqrt{3} - 10 \sqrt{2} = [/tex]
[tex]16 \sqrt{2} - 15 \sqrt{3} + 4 \sqrt{3} - 10 \sqrt{2} = [/tex]
[tex]6 \sqrt{2} - 11 \sqrt{3} [/tex]
[tex]6 \sqrt{5} - 2 \sqrt{3} - 15 \sqrt{5} + 6 \sqrt{3} = [/tex]
[tex] - 9 \sqrt{5} + 4 \sqrt{3} [/tex]
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Raspuns:
a)5,42736
b)3,16228
c)13,22876
d)10,3923
2
a)15,09565
b)5,42736
c)18,71096
d)18,7196
3
a)9,75663
b1,41421
c)17,71699
d)13,19641
Verified answer
Răspuns:
1) a)
[tex] - 5 \sqrt{5} [/tex]
b)
[tex]3 \sqrt{10} - 1 \sqrt{10} + 5 \sqrt{10} - 6 \sqrt{10} = [/tex]
[tex](3 - 1 + 5 - 6) \sqrt{10} = [/tex]
[tex]1 \sqrt{10} = \sqrt{10} [/tex]
c)
[tex]2 \sqrt{7} - 5 \sqrt{7} - 3 \sqrt{7} + 1 \sqrt{7} = [/tex]
[tex](2 - 5 - 3 + 1) \sqrt{7} = [/tex]
[tex] - 5 \sqrt{7} [/tex]
d)
[tex](4 - 7 + 2 - 5) \sqrt{3} = [/tex]
[tex] - 6 \sqrt{3} [/tex]
2) a)
[tex] - 3 \sqrt{3} - 7 \sqrt{2} [/tex]
b)
[tex]2 \sqrt{5} - 7 \sqrt{2} [/tex]
c)
[tex]3 \sqrt{5} - \sqrt{7} [/tex]
d)
[tex]11 \sqrt{7} - 6 \sqrt{3} [/tex]
3) a)
[tex]6 \sqrt{2} - 6 \sqrt{3} - 2 {}^{2} \sqrt{2} + 10 \sqrt{3} = [/tex]
[tex]6 \sqrt{2} - 6 \sqrt{3} - 4 \sqrt{2} + 10 \sqrt{3} = [/tex]
[tex]2 \sqrt{2} + 4 \sqrt{3} [/tex]
c)
[tex]6 \sqrt{3} + 9 \sqrt{2} - 6 \sqrt{5} - 10 \sqrt{2} = [/tex]
[tex] - \sqrt{2} [/tex]
b)
[tex] {2}^{2} \times {2}^{2} \sqrt{2} - 15 \sqrt{3} + 4 \sqrt{3} - 10 \sqrt{2} = [/tex]
[tex] {2}^{4} \sqrt{2} - 15 \sqrt{3} + 4 \sqrt{3} - 10 \sqrt{2} = [/tex]
[tex]16 \sqrt{2} - 15 \sqrt{3} + 4 \sqrt{3} - 10 \sqrt{2} = [/tex]
[tex]6 \sqrt{2} - 11 \sqrt{3} [/tex]
d)
[tex]6 \sqrt{5} - 2 \sqrt{3} - 15 \sqrt{5} + 6 \sqrt{3} = [/tex]
[tex] - 9 \sqrt{5} + 4 \sqrt{3} [/tex]
Sper că te-am ajutat!