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Popular >

simplify sqrt(81+9)

Solution

simplify

81 + 9

Solution

310

+1

Decimal Notation

9.48683 \dots

Solution steps

81 + 9

Add the numbers:

81 + 9 = 90

= 90

Prime factorization of

90 : 2 \cdot 3^{2} \cdot 5

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

Apply radical rule:

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

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

= 3^{2} 2 \cdot 5

Apply radical rule:

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

3^{2} = 3

= 3 2 \cdot 5

Multiply the numbers:

2 \cdot 5 = 10

= 310

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Frequently Asked Questions (FAQ)

What is sqrt(81+9) ?
The solution to sqrt(81+9) is 3sqrt(10)