simplify 8√5 + √20 - √125 + 2 upon 3 √45
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Answer:
yep
Step-by-step explanation:
To Find:
Simplified form of S
Solution:
Given S = (2√45+3√20+10√125)/2√5
We can split this into 3 different terms.
2√45 / 2√5
3√20 / 2√5
10√125 / 2√5
Therefore,
2√45 / 2√5 = √45/ √5
√45 / √5 = √9 = 3 - ( a )
3√20 / 2√5 = 3 √4 / 2 =
3 x 2 / 2 = 3 -- ( b )
10√125 / 2√5 = 5 √25
5 √25 = 5 x 5 = 25 -- (c)
Therefore sum of these terms: ( a ) + ( b ) + ( c )
S = (2√45+3√20+10√125)/2√5 = 3 + 3 + 25 = 31
Simplified form of (2√45+3√20+10√125) / 2√5 is 31 .
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