What is 8sqrt(2)6sqrt(2) 15/2 sqrt(2) ?

The solution to 8sqrt(2)6sqrt(2) 15/2 sqrt(2) is 720sqrt(2)

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simplify 8sqrt(2)6sqrt(2) 15/2 sqrt(2)

simplify

8262 \frac{15}{2} 2

7202

Decimal Notation

1018.23376 \dots

Solution steps

82 \cdot 62 \frac{15}{2} 2

Apply exponent rule:

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

222 = 2^{\frac{1}{2}} \cdot 2^{\frac{1}{2}} \cdot 2^{\frac{1}{2}} = 2^{\frac{1}{2} + \frac{1}{2} + \frac{1}{2}}

= 8 \cdot 6 \cdot \frac{15}{2} \cdot 2^{\frac{1}{2} + \frac{1}{2} + \frac{1}{2}}

Combine the fractions

\frac{1}{2} + \frac{1}{2} + \frac{1}{2} : \frac{3}{2}

= 8 \cdot 6 \cdot 2^{\frac{3}{2}} \cdot \frac{15}{2}

2^{\frac{3}{2}} = 22

= 8 \cdot 6 \cdot 22 \frac{15}{2}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{15 \cdot 8 \cdot 6 \cdot 2 2}{2}

Cancel the common factor:

2

= 15 \cdot 8 \cdot 62

Multiply the numbers:

15 \cdot 8 \cdot 6 = 720

= 7202

x \cdot (x - 1)^{2} \cdot (x - 2)^{2}

(2 x^{4}) (8 x^{15})

300 (e^{0.5})^{1}

e^{- 2 x} (e^{- x})

8.6 \cdot 1 0^{- 5}

What is 8sqrt(2)6sqrt(2) 15/2 sqrt(2) ?
The solution to 8sqrt(2)6sqrt(2) 15/2 sqrt(2) is 720sqrt(2)