What is (sqrt(5)-sqrt(3))(sqrt(5)-sqrt(3)) ?

The solution to (sqrt(5)-sqrt(3))(sqrt(5)-sqrt(3)) is 8-2sqrt(15)

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simplify (sqrt(5)-sqrt(3))(sqrt(5)-sqrt(3))

simplify

(5 - 3) (5 - 3)

8 - 215

Decimal Notation

0.25403 \dots

Solution steps

(5 - 3) (5 - 3)

Apply exponent rule:

aa = a^{2}

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

= (5 - 3)^{2}

Apply Perfect Square Formula:

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

(5 - 3)^{2} = (5)^{2} - 253 + (3)^{2}

= (5)^{2} - 253 + (3)^{2}

(5)^{2} - 253 + (3)^{2} = 8 - 215

= 8 - 215

(- 36)^{- \frac{3}{2}}

2 x^{2} y^{2}

1.67 \cdot 1 0^{- 27}

(2 - 7)^{2}

What is (sqrt(5)-sqrt(3))(sqrt(5)-sqrt(3)) ?
The solution to (sqrt(5)-sqrt(3))(sqrt(5)-sqrt(3)) is 8-2sqrt(15)