We simplify the expression -2√15(-8 + 10√15) = 150 + 16√15
To answer the question, we need to know what surds are
What are surds?
Surds are square roots of positive integers.
Since we have -2√15(-8 + 10√15), we simplify the expression
So, -2√15(-8 + 10√15) = -2√15 × (-8) + 10√15 × √15 (expanding the bracket)
= -2× (-8) × √15 + 10 × √(15 × 15)
= 16 × √15 + 10 × √15²
= 16 × √15 + 10 × 15
= 16√15 + 150
= 150 + 16√15
So, we simplify the expression -2√15(-8 + 10√15) = 150 + 16√15
Learn more about surds here:
https://brainly.com/question/27743084
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