What is 2/3 sqrt(63) ?

The solution to 2/3 sqrt(63) is 2sqrt(7)

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simplify 2/3 sqrt(63)

simplify

\frac{2}{3} 63

27

Decimal Notation

5.29150 \dots

Solution steps

\frac{2}{3} 63

Prime factorization of

63 : 3^{2} \cdot 7

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

Apply radical rule:

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

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

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

Apply radical rule:

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

3^{2} = 3

= \frac{2}{3} \cdot 37

Convert

3

to fraction

: \frac{3}{1}

= \frac{2}{3} \cdot \frac{3}{1} 7

Cross-cancel common factor:

3

= \frac{2}{1} 7

Divide the numbers:

\frac{2}{1} = 2

= 27

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