Question

3) The half of (√200 + √128 ) is

1. √100 + √64

2. 9√2

3. 18√2

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Answer 1

Option 2 i.e. 9√2 is the correct option.

Explanation:

Given the expression

`(√(200)\:+\:√(128))`

The half of
`(√(200)\:+\:√(128))` can be determined by dividing the expression in half.

Therefore, we need to solve the expression such as

`(\left(√(200)\:+\:√(128)\:\right))/(2)`

as

`√(200)=√(100* 2)=√(100^2* \:2)=10√(2)`

`√(128)=√(64* 2)=√(8^2* \:2)=8√(2)`

so the expression becomes

`(\left(√(200)\:+\:√(128)\:\right))/(2)=(10√(2)+8√(2))/(2)`

Add similar elements:
`10√(2)+8√(2)=18√(2)`

`=(18√(2))/(2)`

Divide the numbers: 18/2 = 9

`=9√(2)`

Therefore, we conclude that:

`(\left(√(200)\:+\:√(128)\:\right))/(2)=9√(2)`

Hence, option 2 i.e. 9√2 is the correct option.