Question

Answer these two questions in steps plz

Answer 1

Not sure on the second one, but I did them both on my calculator, so it should be right. :)

Answer 2

Answer:

Solution :

To solve the above equation we will follow the BODMAS rule.

• >> BODMAS is an order of mathematic operations.
• >> BODMAS rule is to be followed while solving expressions in mathematics.

It stands for :

$\quad\begin{gathered} \small \begin{array}{l} \star \: \rm B= bracket \\\star \: \rm O= order \: of \: power \: \\\star \: \rm D= division \\\star \: \rm M= multiplication \\ \star \: \rm A= addition \\ \star \: \rm S=subtraction \end{array}\end{gathered}$

Solving the questions by bodmas rule :

$1) \: \pmb{\sf{(6 + \sqrt{26 - 1} ) \div ( {3}^{2} + 2) }}$

$= {\sf{(6 + \sqrt{26 - 1} ) \div ( {3}^{2} + 2) }}$

$= {\sf{(6 + \sqrt{25} ) \div ( {(3 \times 3)} + 2) }}$

$= {\sf{(6 + \sqrt{5 \times 5} ) \div ( 9 + 2) }}$

$= {\sf{(6 + 5 ) \div (9 + 2) }}$

$= {\sf{(11 ) \div (11) }}$

$= {\sf{11 \div 11}}$

$={\underline{\boxed{\tt{\red{1}}}}}$

Hence, the answer is 1.

$\begin{gathered}\end{gathered}$

$2) \: \pmb{\sf{17 - 5 \times 2 \div \sqrt{100}}}$

${\sf{ = 17 - 5 \times 2 \div \sqrt{100}}}$

${\sf{ = 17 - 5 \times 2 \div \sqrt{2 \times 2 \times 5}}}$

${\sf{ = 17 - 5 \times 2 \div \sqrt{ \underline{2 \times 2}\times \underline{5}}}}$

${\sf{ = 17 - 5 \times 2 \div (2 \times 5)}}$

${\sf{ = 17 - 5 \times 2 \div 10}}$

${\sf{ = 17 - 5 \times 0.2}}$

${\sf{ = 17 - 1}}$

$={\underline{\boxed{\tt{\red{16}}}}}$

Hence, the answer is 16.

$\underline{\rule{220pt}{3pt}}$