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Answers
Answer:
The simplified form of given expression is 29\sqrt{2}29
2
.
Step-by-step explanation:
The given expression is
5\sqrt{2}+2\sqrt{8}-3\sqrt{32}+4\sqrt{128}5
2
+2
8
−3
32
+4
128
We need to find the simplified form of the given expression.
5\sqrt{2}+2\sqrt{4\times 2}-3\sqrt{16\times 2}+4\sqrt{64\times 2}5
2
+2
4×2
−3
16×2
+4
64×2
5\sqrt{2}+2\sqrt{2^2\times 2}-3\sqrt{4^2\times 2}+4\sqrt{8^2\times 2}5
2
+2
2
2
×2
−3
4
2
×2
+4
8
2
×2
5\sqrt{2}+2(2\sqrt{2})-3(4\sqrt{2})+4(8\sqrt{2})5
2
+2(2
2
)−3(4
2
)+4(8
2
)
After multiplication we get
5\sqrt{2}+4\sqrt{2}-12\sqrt{2}+32\sqrt{2}5
2
+4
2
−12
2
+32
2
After addition we get
29\sqrt{2}29
2
Therefore, the simplified form of given expression is 29\sqrt{2}29
2
.
#Learn more
If root 2 =1.414,then find the value of 3root 32-2root 50+4 root 128-20 root 18
Step-by-step explanation:
12.9 IT is the correct answer