What is 7/(sqrt(40)) ?

The solution to 7/(sqrt(40)) is 7/(2sqrt(10))

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simplify 7/(sqrt(40))

simplify

\frac{7}{40}

\frac{7}{2 10}

Solution steps

\frac{7}{40}

Prime factorization of

40 : 2^{3} \cdot 5

= \frac{7}{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{7}{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{7}{2 ^{2} 2 \cdot 5}

Apply radical rule:

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

2^{2} = 2

= \frac{7}{2 2 \cdot 5}

Multiply the numbers:

2 \cdot 5 = 10

= \frac{7}{2 10}

\frac{1 0 ^{3}}{1 0 ^{6}}

- x \cdot - y

\frac{9}{12} \div \frac{7}{5}

(- 2) + 8

5 x + 7 + x - 9 x