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Wykonaj działania , wynik przedstaw w najprostszej postaci:
a) -2√32 -2√8=
b) 3/√2=
c) √32+√2 / √2=
d) 5 / 2+√3
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a) -2√32 -2√8= -2√(4 * 8) - 2√8 = -4√8 - 2√8 = -6√8 = -6√(4 * 2) = -12√2
b)
3 3 √2 3√2
---- = ------- x ------ = ----------
√2 √2 √2 2
c)
√32+√2 √(16 * 2) + √2 4√2 + √2 5√2
----------- = -------------------- = ------------- = -------- = 5
√2 √2 √2 √2
d)
5 5 2 - √3 5(2 - √3) 5(2 - √3)
---------- = --------- x ----------- = ------------- = ------------- = 5(2 - √3) = 10 - 5√3
2 + √3 2 + √3 2 - √3 2² - √3² 4 - 3
a) -2√32 -2√8=-2√4*8-2√8= -2*2√8-2√8= -4√8-2√8=-6√8
b) 3/√2= 3/√2* √2/√2=3√2/2
c) √32+√2 / √2=√16*2+√2/√2=4√2+√2/√2=5√2/√2=5
d) 5 / 2+√3 * 2-√3/2-√3=10-5√3/4-3=10-5√3/1=10-5√3