What is sqrt(\sqrt{9)-sqrt(8)} ?

The solution to sqrt(\sqrt{9)-sqrt(8)} is sqrt(2)-1

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simplify sqrt(\sqrt{9)-sqrt(8)}

simplify

9 - 8

2 - 1

Decimal Notation

0.41421 \dots

Solution steps

9 - 8

9 = 3

8 = 22

= 3 - 22

= 2 - 22 + 1

= (2)^{2} - 22 + (1)^{2}

1 = 1

= (2)^{2} - 22 + 1^{2}

22 \cdot 1 = 22

= (2)^{2} - 22 \cdot 1 + 1^{2}

Apply Perfect Square Formula:

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

(2)^{2} - 22 \cdot 1 + 1^{2} = (2 - 1)^{2}

= (2 - 1)^{2}

Apply radical rule:

(2 - 1)^{2} = 2 - 1

= 2 - 1

\frac{56}{62}

\frac{5}{8 x} - \frac{7}{6 x}

a^{2} \times a

\frac{2 7}{3 + 7}

+ (x^{2} + x - 20)

What is sqrt(\sqrt{9)-sqrt(8)} ?
The solution to sqrt(\sqrt{9)-sqrt(8)} is sqrt(2)-1