What is (2+sqrt(3))^5*(2-sqrt(3))^5 ?

The solution to (2+sqrt(3))^5*(2-sqrt(3))^5 is 1

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simplify (2+sqrt(3))^5*(2-sqrt(3))^5

simplify

(2 + 3)^{5} \cdot (2 - 3)^{5}

1

Solution steps

(2 + 3)^{5} (2 - 3)^{5}

Apply exponent rule:

a^{m} b^{m} = (ab)^{m}

(2 + 3)^{5} (2 - 3)^{5} = ((2 + 3) (2 - 3))^{5}

= ((2 + 3) (2 - 3))^{5}

(2 + 3) (2 - 3) = 1

= 1^{5}

Apply rule

1^{a} = 1

= 1

(2 a) (9 a^{3})

(30.1 \frac{k N}{m ^{2}}) \cdot 2.8 m \cdot 0.15 m

0.241 \cdot 14.095 \cdot 1 0^{- 3}

(\frac{1}{524}) \cdot e^{- \frac{1428}{524}}

\frac{0.02588}{0.01} (2.19088 \cdot 1 0^{- 8})

What is (2+sqrt(3))^5*(2-sqrt(3))^5 ?
The solution to (2+sqrt(3))^5*(2-sqrt(3))^5 is 1