Adição e Sub
A) 7√7+8√7
B)10√2+5√2
C)10√5-7√5
D)7√2-12√2
E)8√5-√5
F)3√a-4√a+3√a
G)10^7√5-^7√5+2^7√5
H)√3-10√3-8√3
I)-√7-12√7
J)8√a-9√a+10√a
K)√a-√a-3√a+3√a
L)8^3√2+9^3√2-10^3√2
M)√12+5√27
N)√12+√48
O)√8+√18
P)√27+√75+5√3
Q)√125+2√5
R)√25X+√16X+√49X
S)√4a+9√a=√64a-√9a
T)√2+10√50
U)√3+√768-√1323
V)√18a^2+√18a^2
W)√32+√8+√18
X)5√2+8√3-4√2+6√3
Y)√12+√243-√8+√32
Z)√25+√4a+√64+√a
Outra, √49m-√100m+√16m-√64m
Preciso de ajuda.
Respostas
Reduza os termos semelhantes:
a) 7
7
+8
7
=15
7
b) 10
2
+5
2
=15
2
c) 10
5
−7
5
=3
5
d) 8
5
−
5
=7
5
e) −
7
−12
7
=−13
7
\begin{lgathered}2)\ Simplifique\ e\ reduza\ os\ termos\ semelhantes:\\ a)\ \sqrt{8}+\sqrt{18} \\ =\sqrt{4\cdot2}+\sqrt{9\cdot2}\\ =\sqrt{4}\cdot\sqrt{2}+\sqrt{9}\cdot\sqrt{2}\\ =2\sqrt{2}+3\sqrt{2}\\ =5\sqrt{2}\\ \\ b)\ \sqrt{27} + \sqrt{75} + 5\sqrt{3}\\ = \sqrt{9\cdot3} + \sqrt{25\cdot3} + 5\sqrt{3}\\ = \sqrt{9}\cdot \sqrt{3} + \sqrt{25}\cdot \sqrt{3} + 5\sqrt{3}\\ = 3\sqrt{3} + 5\sqrt{3} + 5\sqrt{3}\\ = 13\sqrt{3}\\\end{lgathered}
2) Simplifique e reduza os termos semelhantes:
a)
8
+
18
=
4⋅2
+
9⋅2
=
4
⋅
2
+
9
⋅
2
=2
2
+3
2
=5
2
b)
27
+
75
+5
3
=
9⋅3
+
25⋅3
+5
3
=
9
⋅
3
+
25
⋅
3
+5
3
=3
3
+5
3
+5
3
=13
3
\begin{lgathered}\\ c)\ \sqrt{25x} +\sqrt{16x} +\sqrt{49x}\\ = \sqrt{25}\cdot \sqrt{x} +\sqrt{16}\cdot \sqrt{x} +\sqrt{49}\cdot \sqrt{x}\\ = 5\sqrt{x} +4\sqrt{x} +7\sqrt{x}\\ = 16\sqrt{x}\\ \\ d)\ 3a\sqrt{2} + \sqrt{18a^2}\\ =3a\sqrt{2} + \sqrt{9\cdot 2\cdot a^2}\\ =3a\sqrt{2} + \sqrt{9a^2\cdot 2}\\ =3a\sqrt{2} + \sqrt{9a^2}\cdot \sqrt{2}\\ =3a\sqrt{2} + 3a\sqrt{2}\\ =6a\sqrt{2}\end{lgathered}
c)
25x
+
16x
+
49x
=
25
⋅
x
+
16
⋅
x
+
49
⋅
x
=5
x
+4
x
+7
x
=16
x
d) 3a
2
+
18a
2
=3a
2
+
9⋅2⋅a
2
=3a
2
+
9a
2
⋅2
=3a
2
+
9a
2
⋅
2
=3a
2
+3a
2
=6a
2
\begin{lgathered}e)\ 5 \sqrt{2} + 8\sqrt{3} - 4\sqrt{2} + 6\sqrt{3}\\ =5 \sqrt{2}- 4\sqrt{2}+8\sqrt{3} +6\sqrt{3}\\ =\sqrt{2}+14\sqrt{3}\end{lgathered}
e) 5
2
+8
3
−4
2
+6
3
=5
2
−4
2
+8
3
+6
3
=
2
+14
3