What is sqrt((\sqrt{21)-2sqrt(7))^2} ?

The solution to sqrt((\sqrt{21)-2sqrt(7))^2} is 2sqrt(7)-sqrt(21)

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Popular >

simplify sqrt((\sqrt{21)-2sqrt(7))^2}

simplify

(21 - 27)^{2}

27 - 21

Decimal Notation

0.70892 \dots

Solution steps

(21 - 27)^{2}

(21 - 27)^{2} = 49 - 283

= 49 - 283

= 21 - 283 + 28

= 7 \cdot 3 - 283 + 28

= (7)^{2} (3)^{2} - 283 + (28)^{2}

28 = 27

= (7)^{2} (3)^{2} - 283 + (27)^{2}

273 \cdot 27 = 283

= (73)^{2} - 273 \cdot 27 + (27)^{2}

Apply Perfect Square Formula:

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

(73)^{2} - 273 \cdot 27 + (27)^{2} = (73 - 27)^{2}

= (73 - 27)^{2}

Apply exponent rule:

(- a)^{n} = a^{n},

n

is even

(73 - 27)^{2} = (27 - 73)^{2}

= (27 - 73)^{2}

Apply radical rule:

(27 - 73)^{2} = 27 - 73

= 27 - 73

73 = 21

= 27 - 21

lo g_{4} (24) + lo g_{4} (12) - lo g_{4} (18)

(6 y^{2} + 5 y^{4})^{2}

- x + 2 x

ln (2^{x})

\frac{2}{18}

What is sqrt((\sqrt{21)-2sqrt(7))^2} ?
The solution to sqrt((\sqrt{21)-2sqrt(7))^2} is 2sqrt(7)-sqrt(21)