rationalize the denominator 1/under root 5 minus root 3 minus root 8
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Answer:
(√5 + √3 + √8)/(- 62 - 2√24)
Step-by-step explanation:
1/(√5 - √3 - √8)
= 1/(√5 - √3 - √8) × (√5 + √3 + √8)/(√5 + √3 + √8)
= (√5 + √3 + √8)/((√5 - √3 - √8)(√5 + √3 + √8))
(√5 - √3 - √8)(√5 + √3 + √8)
= √5(√5 - √3 - √8) + √3(√5 - √3 - √8) + √8(√5 - √3 - √8)
= 5 - √15 - √40 + √15 - 3 - √24 + √40 - √24 - 64
= 5 - 67 - 2√24
= - 62 - 2√24
(√5 + √3 + √8)/((√5 - √3 - √8)(√5 + √3 + √8))
= (√5 + √3 + √8)/(- 62 - 2√24)
I HOPE IT HELPS YOU
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