Question

5√20 − 2√5 = 3√15 this statement is ______________ because.

a) True
b) False
c) Undefined
d) Inconsistent

Answer 1

The statement 5√20 − 2√5 = 3√15 is false because after simplification, 8√5 does not equal 3√15.

Step-by-step explanation:

The question is asking whether the statement 5√20 − 2√5 = 3√15 is true, false, undefined, or inconsistent. To determine this, we need to simplify the square root expressions and compare both sides of the equation. Simplifying the square roots:

• √20 can be simplified to 2√5 because 20 = 4 × 5, and the square root of 4 is 2.
• Thus, 5√20 becomes 5 × 2√5 or 10√5.
• The left side of the equation is 10√5 − 2√5, which simplifies to 8√5.
• We cannot simplify 3√15 any further without knowing if 15 has any square factors,
• Since 8√5 and 3√15 are not equal, the statement is false.