Question

Simplify: √8 + √98 + √72

A. 9√2
B. 13√2
C. 15√2
D. 17√2

Answer 1

I would say C). Hope this helps!

Answer 2

option C is correct

The simplifies expression is,
`15√(2)`

Explanation:

Given the expression:
`√(8) +√(98)+√(72)`

We can write:

8 as
`2 * 2* 2 = 2^2 * 2`

98 as
`7\time 7 * 2 = 7^2 *`

72 as
`6* 6 * 2 = 6^2 * 2`

then we have;

`√(2^2 * 2) +√(7^2 * 2) +√(6^2 * 2)`

We know;

`√(ab) = √(a) \cdot √(b)`

`\sqrt[n]{a^n} = a`

Using these we have;

`2√(2) +7√(2) +6√(2) = 15√(2)`

therefore, the simplified for the given expression is,
`15√(2)`