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Popular >

simplify 6*9sqrt(75)

Solution

simplify

6 \cdot 975

Solution

2703

+1

Decimal Notation

467.65371 \dots

Solution steps

6 \cdot 975

Prime factorization of

75 : 3 \cdot 5^{2}

= 6 \cdot 9 3 \cdot 5^{2}

Apply radical rule:

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

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

= 6 \cdot 93 5^{2}

Apply radical rule:

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

5^{2} = 5

= 6 \cdot 93 \cdot 5

Multiply the numbers:

6 \cdot 9 \cdot 5 = 270

= 2703

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Frequently Asked Questions (FAQ)

What is 6*9sqrt(75) ?
The solution to 6*9sqrt(75) is 270sqrt(3)