Solution - Order of operations

2278.431

2278.431

See steps

Step-by-step explanation

1. Simplify the expression

$\sqrt{(15^{2} - 4 \cdot - 3)} \cdot 148$

Simplify the exponents and square roots

$\sqrt{(15^{2} - 4 \cdot - 3)} \cdot 148$

$\sqrt{(225 - 4 \cdot - 3)} \cdot 148$

Perform any multiplication or division, from left to right:

$\sqrt{(225 - 4 \cdot - 3)} \cdot 148$

$\sqrt{(225 - - 12)} \cdot 148$

Calculate any addition or subtraction, from left to right.

$\sqrt{(225 - - 12)} \cdot 148$

$\sqrt{(225 + 12)} \cdot 148$

$\sqrt{(237)} \cdot 148$

$15.395 \cdot 148$

Perform any multiplication or division, from left to right:

$15.395 \cdot 148$

$2278.431$

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Why learn this

Order of operations is a basic rule of algebra. It tells us what to solve first when we have an equation with multiple functions, which is something that you will likely encounter throughout your maths studies. The order is: Parentheses, Exponents, Multiplication and Division, then finally Addition and Subtraction. Remember that when you're solving within the parentheses, the Order of Operations applies!

Terms and topics

Order of operations

Solution - Order of operations

Step-by-step explanation

1. Simplify the expression

Why learn this

Terms and topics

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