Question

What is the simplified form of the following expression?

2√18+3√2+√162
A. 6√2
B. 18√2
C. 30√2
D. 36√2

Answer 1

`2 √(18) +3 √(2) + √(168) =25.558`
A. 8.485
B. 25.558
C. 42.426
D. 50.911

B.
`18 √(2)` is your answer

Answer 2

Option B is correct.

The simplified form of the given expression is,
`18√(2)`.

Step-by-step explanation:

Given the expression:
`2√(18) +3 √(2) +√(162)`

Square root of a number is a value that when multiplied by itself, gives the number.

`√(a^2)=√(a * a)`= a

we can write the given expression as;

`2√(9 * 2) +3√(2) +√(2 * 81)` or

`2√(3^2 * 2)+3 √(2) +√(9^2 * 2)`

Then by definition of square root,

`2 \cdot 3 √(2) +3√(2)+9 √(2)` or

`6√(2) +3√(2) +9√(2) = 18√(2)`

Therefore, the simplified form of the given expression is,
`18√(2)` .