What is (sqrt(3)-sqrt(7))(sqrt(3)-sqrt(7)) ?

The solution to (sqrt(3)-sqrt(7))(sqrt(3)-sqrt(7)) is 10-2sqrt(21)

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simplify (sqrt(3)-sqrt(7))(sqrt(3)-sqrt(7))

simplify

(3 - 7) (3 - 7)

10 - 221

Decimal

0.83484 \dots

Solution steps

(3 - 7) (3 - 7)

Apply exponent rule:

aa = a^{2}

(3 - 7) (3 - 7) = (3 - 7)^{2}

= (3 - 7)^{2}

Apply Perfect Square Formula:

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

(3 - 7)^{2} = (3)^{2} - 237 + (7)^{2}

= (3)^{2} - 237 + (7)^{2}

(3)^{2} - 237 + (7)^{2} = 10 - 221

= 10 - 221

e^{- x^{4}}

f (x) = arctan (x)

2^{x} \times 3^{x}

4.5 \cdot 1 0^{- 4}

4.5 \cdot 1 0^{- 3}

What is (sqrt(3)-sqrt(7))(sqrt(3)-sqrt(7)) ?
The solution to (sqrt(3)-sqrt(7))(sqrt(3)-sqrt(7)) is 10-2sqrt(21)