What is (sqrt(5)-1)(sqrt(5)-1) ?

The solution to (sqrt(5)-1)(sqrt(5)-1) is 6-2sqrt(5)

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simplify (sqrt(5)-1)(sqrt(5)-1)

simplify

(5 - 1) (5 - 1)

6 - 25

Decimal Notation

1.52786 \dots

Solution steps

(5 - 1) (5 - 1)

Apply exponent rule:

aa = a^{2}

(5 - 1) (5 - 1) = (5 - 1)^{2}

= (5 - 1)^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(5 - 1)^{2} = (5)^{2} - 25 \cdot 1 + 1^{2}

= (5)^{2} - 25 \cdot 1 + 1^{2}

(5)^{2} - 25 \cdot 1 + 1^{2} = 6 - 25

= 6 - 25

4.4 \cdot 1 0^{- 2}

4.4 \cdot 1 0^{- 3}

(- 21)^{2}

\frac{e ^{- (x + y)}}{e ^{- y}}

What is (sqrt(5)-1)(sqrt(5)-1) ?
The solution to (sqrt(5)-1)(sqrt(5)-1) is 6-2sqrt(5)