Question

$\sqrt \sqrt 4/9 + \sqrt100/9$

Answer 1

Answer:

Rɪɢʜᴛ Qᴜᴇsᴛɪᴏɴ :

$:\implies\sf{\sqrt{\dfrac{4}{9}} + \sqrt{\dfrac{100}{9}}}$

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

Sᴏʟᴜᴛɪᴏɴ :

$:\implies\sf{\sqrt{\dfrac{4}{9}} + \sqrt{\dfrac{100}{9}}}$

$:\implies\sf{\sqrt{\dfrac{2 \times 2}{3 \times 3}} + \sqrt{\dfrac{10 \times 10}{3 \times 3}}}$

$:\implies\sf{\dfrac{2}{3} + {\dfrac{10}{3}}}$

$:\implies\sf{\dfrac{(2 \times 1) + (10 \times 1)}{3}}$

$:\implies\sf{\dfrac{2+ 10}{3}}$

$:\implies\sf{\dfrac{12}{3}}$

$:\implies\sf{\cancel{\dfrac{12}{3}}}$

$:\implies\underline{\bf{4}}$

$\longrightarrow{\underline{\boxed{\pmb{\sf{Answer = 4}}}}}$

∴ The answer is 4.

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

Lᴇᴀʀɴ Mᴏʀᴇ :

☼ BODMAS :

↝ BODMAS rule is an acronym used to remember the order of operations to be followed while solving expressions in mathematics.

It stands for :-

• ↠ B - Brackets,
• ↠ O - Order of powers or roots,
• ↠ D - Division,
• ↠ M - Multiplication 
• ↠ A - Addition,
• ↠ S - Subtraction.

↝ It means that expressions having multiple operators need to be simplified from left to right in this order only.

☼ BODMAS RULE :

↝ First, we solve brackets, then powers or roots, then division or multiplication (whatever comes first from the left side of the expression), and then at last subtraction or addition.

• ↠ Addition (+)
• ↠ Subtraction (-)
• ↠ Multiplication (×)
• ↠ Division (÷)
• ↠ Brackets ( )

☼ EXPONENT :

↝ The exponent of a number says how many times to use the number in a multiplication.

☼ LAW OF EXPONENT :

The important laws of exponents are given below:

• ↠ ${\rm{{a}^{m} \times {a}^{n} = {a}^{m + n}}}$
• ↠ ${\rm{{a}^{m}/{a}^{n} = {a}^{m - n}}}$
• ↠ ${\rm{({a}^{m})^{n} = {a}^{mn}}}$
• ↠ ${\rm{{a}^{n}/{b}^{n} = ({a/b})^{n} }}$
• ↠ ${\rm{{a}^{0} = 1}}$
• ↠ ${\rm{{a}^{ - m} = {1/a}^{m}}}$
• ↠ ${\rm{{a}^{\frac{1}{n} } = \sqrt[n]{a}}}$

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