4√98−√8+3√32−4√50
please write this answer In a page...I will mark the first one as brainliest
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Answer:
29√2
Step-by-step explanation:
5
2
+2
8
−3
32
+4
128
2√8=2√2×2×2=2×2√2
2√8=4√2
3√32=2√2×2×2×2×2
=3×2×2√2
=12√2
4√128=4√2×2×2×2×2×2×2
=4×2×2×2√2
=32√2
Now All Terms Can Written as
5 \sqrt{2} + 4 \sqrt{2} - 12 \sqrt{2} + 32 \sqrt{2}5
2
+4
2
−12
2
+32
2
As We know When There is Like terms like √2 in These Terms
If
a√x+b√x=a+b√x
a√x-b√x=a-b√x
Now,
\begin{gathered}5 \sqrt{2} + 4\sqrt{2} + 32 \sqrt{2} - 12 \sqrt{2} \\ \\ 41 \sqrt{2} - 12 \sqrt{2} \\ \\ = 29 \sqrt{2}\end{gathered}
5
2
+4
2
+32
2
−12
2
41
2
−12
2
=29
2
Answer=29√2
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