Question 112

Simplify:
$$166 - [8^2 - 7^2 + \sqrt{(72 - 64 \div 8[18 \times 18 \div 324])}]$$

$$166 - [8^2 - 7^2 + \sqrt{(72 - 64 \div 8[18 \times 18 \div 324])}]$$

HERE, WE WILL USE BODMAS RULE.Β Bracket, Of, Division, Multiplication, AdditionΒ andΒ Subtraction. It explains the order of operations to solve an expression.Β 

$$166-[8^2 - 7^2 + \sqrt{(72 - 64 \div 8[18Β \times 1/18])}]$$Β Β { solving 18/324 = 1/18}

$$166-[8^2 - 7^2 + \sqrt{(72 - 64 \div 8[1])}]$$Β  Β { solving 18*1/18}

$$166-[8^2 - 7^2 + \sqrt{(72 - 64 \div 8[1])}]$$Β  Β {solving 64/8}

$$166-[8^2 - 7^2 + \sqrt{(72 - 8)}]$$Β  Β {solving 64/8}

$$166-[8^2 - 7^2 + \sqrt{(64)}]$$Β  Β {solving 72-8}

$$166-[8^2 - 7^2 + 8]$$Β  Β {solving sqrt64}

$$166-[64-49+8]$$Β  Β {solving 72-8}

$$166-[23]$$Β  Β {solving bracket}

$$166-23$$Β  Β 

$$143$$Β Β 

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