What is (sqrt(3)-5sqrt(2))^2 ?

The solution to (sqrt(3)-5sqrt(2))^2 is 53-10sqrt(6)

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simplify (sqrt(3)-5sqrt(2))^2

simplify

(3 - 52)^{2}

53 - 106

Decimal Notation

28.50510 \dots

Solution steps

(3 - 52)^{2}

Apply Perfect Square Formula:

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

(3 - 52)^{2} = (3)^{2} - 23 \cdot 52 + (52)^{2}

= (3)^{2} - 23 \cdot 52 + (52)^{2}

(3)^{2} - 23 \cdot 52 + (52)^{2} = 53 - 106

= 53 - 106

lo g_{6} (4) + lo g_{6} (54)

(\frac{3 x y}{z ^{- 2}})^{3}

\frac{115}{2}

(x + 9) (x - 8)

lo g_{10} (2.6)

What is (sqrt(3)-5sqrt(2))^2 ?
The solution to (sqrt(3)-5sqrt(2))^2 is 53-10sqrt(6)