Question

Evaluate each expression.
5√32

Answer 1

5√32 = 20√2 = 28.28

Explanation:

Expression to evaluate 5√32

Now,

5√32 can also be written as:

⇒ 5√(2 × 16)

or

⇒ 5√(2 × 2 × 8)

or

⇒ 5√(2 × 2 × 2 × 4)

or

⇒ 5√( 2 × 2 × 2 × 2 × 2 )

or

⇒ 5√( 2² × 2² × 2 )

since, the square root is given, the terms with square will be taken out of the root

thus,

⇒ 5 × 2 × 2 × √(2)

or

⇒ 20√2 also,

√2 = 1.414

thus,

⇒ 20 × 1.414 = 28.28

Hence,

5√32 = 20√2 = 28.28