Math, asked by devesh8958, 4 months ago

simplify 8√5 + √20 - √125 + 2 upon 3 √45

plz help​

Answers

Answered by PRASHAANT22042005
0

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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