Asked by bob
Simplify √28x−√14+√63x
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GPT-5 mini
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Assuming the expression is √(28x) − √14 + √(63x):
√(28x) = √(4·7x) = 2√(7x)
√(63x) = √(9·7x) = 3√(7x)
So the expression becomes 2√(7x) + 3√(7x) − √14 = 5√(7x) − √14.
Factoring √7: = √7(5√x − √2). (Domain: x ≥ 0.)
√(28x) = √(4·7x) = 2√(7x)
√(63x) = √(9·7x) = 3√(7x)
So the expression becomes 2√(7x) + 3√(7x) − √14 = 5√(7x) − √14.
Factoring √7: = √7(5√x − √2). (Domain: x ≥ 0.)
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