Question
simplify and express in radicals
square root 160 over square root 5
square root 160 over square root 5
Answers
GPT 3.5
The expression can be simplified by simplifying the numerator and denominator separately:
√160 = √(16 * 10) = √16 * √10 = 4√10
√5 = √5
Therefore, the simplified expression is:
4√10 / √5 = (4√10 ∙ √5) / (√5 ∙ √5) = 4√50 / 5 = 4√50 / 5 = 4√(25*2) / 5 = 4√25 * √2 / 5 = 4 * 5√2 / 5 = 20√2 / 5 = 4√2
Therefore, the simplified expression is 4√2.
√160 = √(16 * 10) = √16 * √10 = 4√10
√5 = √5
Therefore, the simplified expression is:
4√10 / √5 = (4√10 ∙ √5) / (√5 ∙ √5) = 4√50 / 5 = 4√50 / 5 = 4√(25*2) / 5 = 4√25 * √2 / 5 = 4 * 5√2 / 5 = 20√2 / 5 = 4√2
Therefore, the simplified expression is 4√2.