What is 1/(sqrt(40)) ?

The solution to 1/(sqrt(40)) is 1/(2sqrt(10))

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simplify 1/(sqrt(40))

simplify

\frac{1}{40}

\frac{1}{2 10}

Decimal Notation

0.15811 \dots

Solution steps

\frac{1}{40}

Prime factorization of

40 : 2^{3} \cdot 5

= \frac{1}{2 ^{3} \cdot 5}

Apply exponent rule:

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

2^{3} \cdot 5 = 2^{2} \cdot 2 \cdot 5

= \frac{1}{2 ^{2} \cdot 2 \cdot 5}

Apply radical rule:

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

2^{2} \cdot 2 \cdot 5 = 2^{2} 2 \cdot 5

= \frac{1}{2 ^{2} 2 \cdot 5}

Apply radical rule:

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

2^{2} = 2

= \frac{1}{2 2 \cdot 5}

Multiply the numbers:

2 \cdot 5 = 10

= \frac{1}{2 10}

(x^{- 1} + b^{2})^{3}

- 2 x^{3} + 10 x^{2} + 12 x

15979

(m - n)^{2} - (m + n)^{2}