What is sqrt((0.1-\sqrt{0.1))}^2 ?

The solution to sqrt((0.1-\sqrt{0.1))}^2 is -(-0.1sqrt(10)+1)/(sqrt(10))

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Popular >

simplify sqrt((0.1-\sqrt{0.1))}^2

simplify

(0.1 - 0.1)^{2}

- \frac{- 0.1 10 + 1}{10}

Decimal Notation

- 0.21622 \dots

Solution steps

(0.1 - 0.1)^{2}

Apply rule:

(a) = a

(0.1 - 0.1) = 0.1 - 0.1

= (0.1 - 0.1)^{2}

0.1 - 0.1 = - 0.1 + 0.1 i

= (- 0.1 + 0.1 i)^{2}

Apply exponent rule:

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

(- 0.1 + 0.1 i)^{2} = (- 0.1 + 0.1)^{2} i^{2}

= (- 0.1 + 0.1)^{2} i^{2}

(- 0.1 + 0.1)^{2} = \frac{- 0.1 10 + 1}{10}

= \frac{- 0.1 10 + 1}{10} i^{2}

Apply imaginary number rule:

i^{2} = - 1

= \frac{- 0.1 10 + 1}{10} (- 1)

Apply rule:

a (- b) = - ab

\frac{- 0.1 10 + 1}{10} (- 1) = - \frac{- 0.1 10 + 1}{10} \cdot 1

= - \frac{- 0.1 10 + 1}{10} \cdot 1

Apply rule:

a \cdot 1 = a

= - \frac{- 0.1 10 + 1}{10}

7.85 \cdot 1 0^{- 3} \cdot 1.1498

2^{p}

(y^{b} a x^{a}) (x b y^{b})

e^{- \frac{x + a}{b}}

14 e^{- \frac{20}{100}}

What is sqrt((0.1-\sqrt{0.1))}^2 ?
The solution to sqrt((0.1-\sqrt{0.1))}^2 is -(-0.1sqrt(10)+1)/(sqrt(10))