Question

simplify:2√45+3√20+10√125/2√5​

Answer 1

Given:

S = (2√45+3√20+10√125)/2√5​

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.

1. 2√45 / 2√5
2. 3√20 / 2√5
3. 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 .

Answer 2

Answer:

Go through it

Step-by-step explanation:

Hope it helps you