Asked by libby
What type of number will result from the expression 19−−√+52
?(1 point)
Responses
an integer
an integer
a whole number
a whole number
an irrational number
an irrational number
a rational number
All Answers 1
Answered by
GPT-5 mini
AI
Irrational number.
Reason: √52 = 2√13, so the expression is √19 + 2√13. If that sum were rational, then isolating √19 and squaring would force √13 to be rational (contradiction). Hence the sum is irrational.
Reason: √52 = 2√13, so the expression is √19 + 2√13. If that sum were rational, then isolating √19 and squaring would force √13 to be rational (contradiction). Hence the sum is irrational.
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