Write in surd form
" {13}^{\frac{5}{2} } " alt=" {13}^{\frac{5}{2} } " align="absmiddle" class="latex-formula">
2 answers:
Answer:
sqrt(13^2)
Step-by-step explanation:
this is the radical form of 13^(5/2)
<h2>
Answer: 169 √(13)</h2>
Step-by-step explanation:
We can rewrite
in a form that makes it easier to see:
13^{\frac{5}{2} } = √[(13)⁵]
Now, we want to factorise and rewrite (13)⁵ so that one of the factors is a perfect square
13⁵ = 13⁴ × 13 (where 13⁴ is a perfect square)
⇒ √[(13)⁵] = √[ 13⁴ × 13] <em>[separate each term on LHS]</em>
= √(13⁴) × √(13) <em> [square root the perfect square]</em>
= 13² √(13) <em> [simplify]</em>
= 169 √(13)
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