# Question 1.Find the cube root of the following numbers.8000Answer:First find the factor of 80008000 = 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5For finding the cube root, we pair the prime factors in 3’s.= (2 × 2 × 5)3= (2 × 10)3= 203i.e. cube root of 8000 = (8000)1/3 = (203)1/3 = 20 (answer).Question 2.Find the cube root of the following numbers.729Answer:First find factors of 729729 = 9 × 9 × 9For finding the cube root, we pair the prime factors in 3’s.= 93i.e. cube root of 729 = (729)1/3 = (93)1/3 = 9 (answer).Question 3.Find the cube root of the following numbers.343Answer:First find the factor of 343343 = 7 × 7 × 7For finding the cube root, we pair the prime factors in 3’s.= 73i.e. cube root of 343 = (343)1/3 = (73)1/3 = 7 (answer).Question 4.Find the cube root of the following numbers.-512Answer:First find factors of - 512-512 = (-8) × (-8) × (-8)For finding the cube root, we pair the prime factors in 3’s.= (-8)3i.e. cube root of -512 = (- 512)1/3 = (-83)1/3 = -8 (answer).Question 5.Find the cube root of the following numbers.-2744Answer:First find factors of -2744-2744 = (-14) × (-14) × (-14)For finding the cube root, we pair the prime factors in 3’s.= (-14)3i.e. cube root of -2744 = (- 2744)1/3 = (-143)1/3 = -14 (answer).Question 6.Find the cube root of the following numbers.32768Answer:First find factor of 3276832768 = 32 × 32 × 32For finding the cube root, we pair the prime factors in 3’s.= 323i.e. cube root of 32768 = ∛32768 = (323)1/3 = 32 (answer).Question 7.Simplify:(1) (2) (3) If = 9 then = Answer:(1)  (answer).(2)  (answer).3) If ∛729 = 9 then ∛0.000729 = ? We know that ∛729 = 9S0 (answer).

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2019 Board Paper Solution

HSC ENGLISH SET A 2019 21st February, 2019

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