What is (sqrt(10)-sqrt(3))(sqrt(10)-sqrt(3)) ?

The solution to (sqrt(10)-sqrt(3))(sqrt(10)-sqrt(3)) is 13-2sqrt(30)

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simplify (sqrt(10)-sqrt(3))(sqrt(10)-sqrt(3))

simplify

(10 - 3) (10 - 3)

13 - 230

Decimal Notation

2.04554 \dots

Solution steps

(10 - 3) (10 - 3)

Apply exponent rule:

aa = a^{2}

(10 - 3) (10 - 3) = (10 - 3)^{2}

= (10 - 3)^{2}

Apply Perfect Square Formula:

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

(10 - 3)^{2} = (10)^{2} - 2103 + (3)^{2}

= (10)^{2} - 2103 + (3)^{2}

(10)^{2} - 2103 + (3)^{2} = 13 - 230

= 13 - 230

(x - 1)^{2} \cdot (x + 1)^{2}

e^{- 2}

2 e^{- 2 (0)}

4 \cdot π \cdot 1 0^{- 7}

4 e^{- x^{2}}

What is (sqrt(10)-sqrt(3))(sqrt(10)-sqrt(3)) ?
The solution to (sqrt(10)-sqrt(3))(sqrt(10)-sqrt(3)) is 13-2sqrt(30)