Powers and roots

9 important questions on Powers and roots

Know the powers of 2 at least up to 2^9 (dont click on the picture yet, it contains the answer).

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Know the powers of 10 up till an exponential value of 9

10^1 = 10
10^2 = 100
10^3 = 1000
10^4 = 10,000
10^5 = 100,000
10^6 = 1,000,000
10^7 = 10,000,000
10^8 = 100,000,000
10^9 = 1000,000,000

Simplify the expression in the image

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What is the rough approximation for the square root of 3?

The approximation of the square root of 3 = 1.7

Simplify the square root of V2800

Answer 20V7

Square the following radical expression
(5V6)^2

Answer: 150

Calculate:
V72 - V32 (hint: its not V40)

Answer: 2V2

What are extraneous roots?

Sometimes, even if we do all the math correctly (including squaring both sides), the algebra can lead to answers that dont actually work in the original equation: These are extraneous roots.

What is the conjugate expression

Abc

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