What is (8sqrt(10))(8sqrt(5)) ?

The solution to (8sqrt(10))(8sqrt(5)) is 320sqrt(2)

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simplify (8sqrt(10))(8sqrt(5))

simplify

(810) (85)

3202

Decimal Notation

452.54833 \dots

Solution steps

(810) (85)

Remove parentheses:

(a) = a

= 810 \cdot 85

Factor integer

10 = 5 \cdot 2

= 8 5 \cdot 2 \cdot 85

Apply radical rule:

5 \cdot 2 = 52

= 852 \cdot 85

Apply radical rule:

a a = a

55 = 5

= 8 \cdot 8 \cdot 52

Apply exponent rule:

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

8 \cdot 8 = 8^{1 + 1}

= 2 \cdot 8^{1 + 1} \cdot 5

Add the numbers:

1 + 1 = 2

= 2 \cdot 8^{2} \cdot 5

Factor integer

8 = 2^{3}

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

Apply exponent rule:

(a^{b})^{c} = a^{b c}

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

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

Refine

= 2 \cdot 2^{6} \cdot 5

2^{6} = 64

= 64 \cdot 52

Multiply the numbers:

64 \cdot 5 = 320

= 3202

(- 32)^{- \frac{2}{5}}

sec (x) \cdot cos (x)

\frac{sin ( x )}{csc ( x )}

42 \cdot 618

lo g_{10} (e^{(a + b x)})

What is (8sqrt(10))(8sqrt(5)) ?
The solution to (8sqrt(10))(8sqrt(5)) is 320sqrt(2)