What is (sqrt(7)-sqrt(5))(sqrt(21)-sqrt(15)) ?

The solution to (sqrt(7)-sqrt(5))(sqrt(21)-sqrt(15)) is 12sqrt(3)-2sqrt(105)

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simplify (sqrt(7)-sqrt(5))(sqrt(21)-sqrt(15))

simplify

(7 - 5) (21 - 15)

123 - 2105

Decimal Notation

0.29070 \dots

Solution steps

(7 - 5) (21 - 15)

Apply FOIL method:

(a + b) (c + d) = a c + a d + b c + b d

a = 7, b = - 5, c = 21, d = - 15

= 721 + 7 (- 15) + (- 5) 21 + (- 5) (- 15)

Apply minus-plus rules

+ (- a) = - a, (- a) (- b) = ab

= 721 - 715 - 521 + 515

Simplify

721 - 715 - 521 + 515 : 123 - 2105

= 123 - 2105

3 p \geq - 24

36 - 25 x^{2}

(2 x - 3)^{3}

4 a + 1 = a + 7

x^{2} = - 80

What is (sqrt(7)-sqrt(5))(sqrt(21)-sqrt(15)) ?
The solution to (sqrt(7)-sqrt(5))(sqrt(21)-sqrt(15)) is 12sqrt(3)-2sqrt(105)