What is (6sqrt(5)-sqrt(45))*sqrt(75) ?

The solution to (6sqrt(5)-sqrt(45))*sqrt(75) is 15sqrt(15)

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simplify (6sqrt(5)-sqrt(45))*sqrt(75)

simplify

(65 - 45) \cdot 75

1515

Decimal Notation

58.09475 \dots

Solution steps

(65 - 45) 75

75 = 3 \cdot 5

= (65 - 45) 3 \cdot 5

65 - 45 = 35

= 353 \cdot 5

Multiply the numbers:

3 \cdot 5 = 15

= 1553

Apply radical rule:

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

53 = 5 \cdot 3

= 15 5 \cdot 3

Multiply the numbers:

5 \cdot 3 = 15

= 1515

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

\frac{( - 16 ) ^{3}}{( 4 ^{- 2} ) ^{- 3}}

sec (x) cos (x)

\frac{csc ( x ) cos ( x )}{tan ( x ) + cot ( x )}

What is (6sqrt(5)-sqrt(45))*sqrt(75) ?
The solution to (6sqrt(5)-sqrt(45))*sqrt(75) is 15sqrt(15)