Question

simplify root 8 + root 3 - root 75 + root 32

Answer 1

Solution :

√8 + √3 - √75 + √32

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i ) √8 = √(2×2)×2 = 2√2

ii ) √3 = √3

iii ) √75 = √(5×5)×3 = 5√3

iv ) √32 = √(2×2)×(2×2)×2 = 4√2

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= 2√2 + √3 - 5√3 + 4√2

= 2√2 + 4√2 + √3 - 5√3

= 6√2 - 4√3

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