Question

ROOTS AND CUBES
Can someone please help me answer all 4 following?

Answer 1

NOTES:

• squared (²) means multiply that number by itself 2 times
• cubed (³) means multiply that number by itself 3 times
• square root (√) means 2 numbers multiplied by itself on the inside simplify to 1 of that number on the outside of the radical
• cubed root (∛) means 3 numbers multiplied by itself on the inside simplify to 1 of that number on the outside of the radical

Answer: (C) 41

Explanation:

`\quad 6^2+\sqrt[3]{125} \\= 6 \cdot 6+\sqrt[3]{5\cdot 5 \cdot 5}\\= 36 + 5\\= 41`

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Answer: (C) 10

Explanation:

`\bigg((7)/(3)* \sqrt[3]{27}-2\bigg)* (1)/(5) + √(81)`

`=\bigg((7)/(3)* \sqrt[3]{3\cdot 3 \cdot 3}-2\bigg)* (1)/(5) + √(9\cdot 9)`

`=\bigg((7)/(3)*3-2\bigg)* (1)/(5)+9`

`=(7 - 2)* (1)/(5)+9`

`=5 * (1)/(5)+ 9`

`= 1 + 9`

`= 10`

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8² = 8 · 8 = 64 11² = 11 · 11 = 121

5³ = 5 · 5 · 5 = 125 3³ = 3 · 3 · 3 = 27

`√(1600)=√(40\cdot 40)=40`
`\sqrt[3]{64}=\sqrt[3]{4\cdot 4\cdot 4}=4`

`√(144)=√(12\cdot 12)=12`
`\sqrt[3]{8000}=\sqrt[3]{20\cdot 20\cdot 20}=20`