What is (5sqrt(2)-4sqrt(3))(5sqrt(2)-4sqrt(3)) ?

The solution to (5sqrt(2)-4sqrt(3))(5sqrt(2)-4sqrt(3)) is 98-40sqrt(6)

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simplify (5sqrt(2)-4sqrt(3))(5sqrt(2)-4sqrt(3))

simplify

(52 - 43) (52 - 43)

98 - 406

Decimal Notation

0.02041 \dots

Solution steps

(52 - 43) (52 - 43)

Apply exponent rule:

aa = a^{2}

(52 - 43) (52 - 43) = (52 - 43)^{2}

= (52 - 43)^{2}

Apply Perfect Square Formula:

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

(52 - 43)^{2} = (52)^{2} - 2 \cdot 52 \cdot 43 + (43)^{2}

= (52)^{2} - 2 \cdot 52 \cdot 43 + (43)^{2}

(52)^{2} - 2 \cdot 52 \cdot 43 + (43)^{2} = 98 - 406

= 98 - 406

(0)^{2}

5000 [\frac{1 - ( 1 + 0.04 ) ^{- 4 (3)}}{0.04}] (1 + 0.04)^{- 4 (6)}

What is (5sqrt(2)-4sqrt(3))(5sqrt(2)-4sqrt(3)) ?
The solution to (5sqrt(2)-4sqrt(3))(5sqrt(2)-4sqrt(3)) is 98-40sqrt(6)