Question

To calculate: The expression with the help of rational exponents sqrt{11t}

Rational exponents and radicals
ANSWERED
asked 2021-02-25
To calculate: The expression with the help of rational exponents \(\displaystyle\sqrt{{{11}{t}}}\)

Answers (1)

2021-02-26
Calculation:
Consider the expression, \(\displaystyle\sqrt{{{11}{t}}}\).
Use the property, \(\displaystyle\sqrt{{{n}}}{\left\lbrace{a}^{{{m}}}\right\rbrace}={a}^{{^{\left\lbrace{m}\angle{n}\right\rbrace}}}.\)
Here, \(\displaystyle{m}={1}\ \text{and}\ {n}={2}\)
Then, the expression \(\displaystyle\sqrt{{{11}{t}}}\) can be written as
\(\displaystyle\sqrt{{{11}{t}}}=\sqrt{{{\left({11}{t}\right)}}}\)
\(\displaystyle={\left({11}{t}\right)}^{{^{\left\lbrace{1}\angle{2}\right\rbrace}}}\)
Thus, the required expression is \(\displaystyle{\left({11}{t}\right)}^{{^{\left\lbrace{1}\angle{2}\right\rbrace}}}.\)
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