Question

Simplify fully the following:
a) 2√5 x 5√5
A) 10
B) 20
C) 30
D) 40

Answer 1

To simplify the expression 2√5 x 5√5, multiply the coefficients (2 and 5) and the square roots (√5 x √5) separately, resulting in the simplified answer of 50.

Step-by-step explanation:

The student has asked to simplify the expression 2√5 x 5√5. This expression can be simplified by multiplying the coefficients (2 and 5) and the square roots separately. Using the property that √x² = √x, we can multiply √5 by itself to simply get 5. Therefore, simplifying the given expression:

• 2√5 x 5√5 = 2 x 5 x (√5 x √5)
• = 10 x 5
• = 50

So, the fully simplified answer is 50.