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Popular >

simplify sqrt(8)-1

Solution

simplify

8 - 1

Solution

22 - 1

+1

Decimal Notation

1.82842 \dots

Solution steps

8 - 1

Prime factorization of

8 : 2^{3}

= 2^{3} - 1

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

2^{3} = 2^{2} \cdot 2

= 2^{2} \cdot 2 - 1

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

2^{2} \cdot 2 = 2^{2} 2

= 2^{2} 2 - 1

Apply radical rule:

a^{2} = a, a \geq 0

2^{2} = 2

= 22 - 1

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Frequently Asked Questions (FAQ)

What is sqrt(8)-1 ?
The solution to sqrt(8)-1 is 2sqrt(2)-1