Simplify (√98 -√50)/√32

Assessment: JAMB UTME - Mathematics - 2003 Subject: General Mathematics

Question 1 Report

Simplify (√98 -√50)/√32
Answer Details
To simplify the expression (√98 -√50)/√32, we can first simplify the square roots in the numerator and denominator. √98 can be written as √(49 × 2), which simplifies to 7√2. Similarly, √50 can be written as √(25 × 2), which simplifies to 5√2. Finally, √32 can be written as √(16 × 2), which simplifies to 4√2. Now, we can substitute these simplified values into the original expression to get: (7√2 - 5√2)/(4√2) Simplifying the numerator further by combining like terms, we get: 2√2/4√2 Which simplifies to: 1/2 Therefore, the answer is 1/2.

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