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

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

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Popular >

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

simplify

(21 - 27)^{2}

21 - 27

Decimal Notation

- 0.70892 \dots

Solution steps

(21 - 27)^{2}

Apply rule:

(a) = a

(21 - 27) = 21 - 27

= (21 - 27)^{2}

21 - 27 = - 21 + 27 i

= (- 21 + 27 i)^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(- 21 + 27 i)^{2} = (- 21 + 27)^{2} i^{2}

= (- 21 + 27)^{2} i^{2}

Apply exponent rule:

(- 21 + 27)^{2} = - 21 + 27

= (- 21 + 27) i^{2}

Apply imaginary number rule:

i^{2} = - 1

= (- 21 + 27) (- 1)

Apply rule:

a (- b) = - ab

(- 21 + 27) (- 1) = - (- 21 + 27) \cdot 1

= - (- 21 + 27) \cdot 1

Apply rule:

a \cdot 1 = a

= - (- 21 + 27)

Apply the distributive law:

- (- a + b) = a - b

- (- 21 + 27) = 21 - 27

= 21 - 27

6 (1 + 3)^{- 2}

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

(x + 2)^{3}

(- 81)^{- \frac{3}{2}}

1 6^{\frac{3}{4}}

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