QQuestion
Find the simplest value of: \frac{√5}{\text{√3 + √2}}
WBBSEClass 10MathematicsQuadratic Surds03 Mark2022 Easy
✓Answer
\frac{√5}{√3 + √2} = \frac{√5}{√3 + √2} × \frac{√3 - √2}{√3 - √2}
= \frac{√5(√3 - √2)}{(√3)² - (√2)²}
= \frac{√5(√3 - √2)}{3 - 2}
= √5(√3 – √2)
= √15 – √10
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