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Popular >

simplify 6(1+sqrt(3))^{-2}

Solution

simplify

6 (1 + 3)^{- 2}

Solution

6 - 33

+1

Decimal Notation

0.80384 \dots

Solution steps

6 (1 + 3)^{- 2}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

(1 + 3)^{- 2} = \frac{1}{( 1 + 3 ) ^{2}}

= 6 \cdot \frac{1}{( 1 + 3 ) ^{2}}

\frac{1}{( 1 + 3 ) ^{2}} = \frac{2 - 3}{2}

= 6 \cdot \frac{2 - 3}{2}

6 \cdot \frac{2 - 3}{2} = 3 (2 - 3)

= 3 (2 - 3)

Expand

3 (2 - 3) : 6 - 33

= 6 - 33

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Frequently Asked Questions (FAQ)

What is 6(1+sqrt(3))^{-2} ?
The solution to 6(1+sqrt(3))^{-2} is 6-3sqrt(3)