Question 65

Find the value of $$(13 \times 23) - \sqrt{758 + \sqrt{676}} - (49^{2} \times 1\div7) + 15 \times 33$$.

Solution

= $$(13 \times 23) - \sqrt{758 + \sqrt{676}} - (49^{2} \times 1\div7) + 15 \times 33$$

= $$299-\sqrt{758+26}-(49\times\ 49\times\frac{1}{7})+495$$

= $$299-\sqrt{784}-(49\times\ 7)+495$$

= $$299-28-343+495$$
= $$299+495-28-343$$

= $$794-371$$

= 423

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