What is (sqrt(8))/(sqrt(7)) ?

The solution to (sqrt(8))/(sqrt(7)) is (2sqrt(2))/(sqrt(7))

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simplify (sqrt(8))/(sqrt(7))

simplify

\frac{8}{7}

\frac{2 2}{7}

Decimal Notation

1.06904 \dots

Solution steps

\frac{8}{7}

Prime factorization of

8 : 2^{3}

= \frac{2 ^{3}}{7}

Apply exponent rule:

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

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

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

Apply radical rule:

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

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

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

Apply radical rule:

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

2^{2} = 2

= \frac{2 2}{7}

5 a^{3} - 6 a^{2} + 45 a - 54

3 (y^{2} - 2) - y = 0

4 x^{4} - 4 x^{2} y + y^{2}

- \frac{1}{4} \cdot \frac{3}{7}

2 x^{2} = 0

What is (sqrt(8))/(sqrt(7)) ?
The solution to (sqrt(8))/(sqrt(7)) is (2sqrt(2))/(sqrt(7))