How do you solve #sqrt(a+21)1=sqrt(a+12)#?
the answer is
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After using difference of squares identity,
Hence,
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To solve the equation sqrt(a+21)1=sqrt(a+12), we can follow these steps:

Start by isolating one of the square roots. Add 1 to both sides of the equation: sqrt(a+21) = sqrt(a+12) + 1

Square both sides of the equation to eliminate the square root on the left side: (sqrt(a+21))^2 = (sqrt(a+12) + 1)^2

Simplify both sides of the equation: a + 21 = (a + 12) + 2sqrt(a+12) + 1

Combine like terms on the right side of the equation: a + 21 = a + 13 + 2sqrt(a+12)

Subtract a from both sides of the equation to isolate the square root term: 21 = 13 + 2sqrt(a+12)

Subtract 13 from both sides of the equation: 8 = 2sqrt(a+12)

Divide both sides of the equation by 2: 4 = sqrt(a+12)

Square both sides of the equation to eliminate the square root: (4)^2 = (sqrt(a+12))^2

Simplify both sides of the equation: 16 = a + 12

Subtract 12 from both sides of the equation: 4 = a
Therefore, the solution to the equation sqrt(a+21)1=sqrt(a+12) is a = 4.
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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