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Cubes and Cube Roots | Cubes and Cube Roots Exercise 4D

Question 7

\sqrt[3]{(125\times64)=?}

a) 100

b) 40

c) 20

d) 30

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Firstly we have to find the prime factors of 125

125 = 5 × 5 × 5

And the prime factors of 64

64 = 2 × 2 × 2 × 2 × 2 × 2

\sqrt[3]{(125\times64)}=\sqrt[3]{(5\times5\times5\times4\times4\times4)}=\sqrt[3]{(5\times5\times5)\times\sqrt[3]{(4\times4\times4)}}

= 5 × 4 = 20

∴ 20 is the correct answer.

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Question 7

\sqrt[3]{(125\times64)=?}

a) 100

b) 40

c) 20

d) 30

Looking to do well in your science exam ? Learn from an expert tutor. Book a free class!

Firstly we have to find the prime factors of 125

125 = 5 × 5 × 5

And the prime factors of 64

64 = 2 × 2 × 2 × 2 × 2 × 2

\sqrt[3]{(125\times64)}=\sqrt[3]{(5\times5\times5\times4\times4\times4)}=\sqrt[3]{(5\times5\times5)\times\sqrt[3]{(4\times4\times4)}}

= 5 × 4 = 20

∴ 20 is the correct answer.

Our top 5% students will be awarded a special scholarship to Lido.

subject-cta
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