1. Simplify. $$ \begin{array}{ll} ext { a) }(\sqrt{26})^{2} & ext { b) }(\sqrt{1200})^{2} \ ext { e) }(\sqrt[3]{125000})^{3} & ext { f) }(\sqrt[5]{32})^{5}\end{array} $$

Question

1. Simplify. $$ \begin{array}{ll}	ext { a) }(\sqrt{26})^{2} & 	ext { b) }(\sqrt{1200})^{2} \ 	ext { e) }(\sqrt[3]{125000})^{3} & 	ext { f) }(\sqrt[5]{32})^{5}\end{array} $$

UpStudy AI · Accepted Answer

1. a) Simplify $$ (\sqrt{26})^2 $$.

Since the square and the square root are inverse operations, we have:
$$
(\sqrt{26})^2 = 26.
$$

2. b) Simplify $$ (\sqrt{1200})^2 $$.

Similarly, the square and square root cancel out:
$$
(\sqrt{1200})^2 = 1200.
$$

3. e) Simplify $$ (\sqrt[3]{125000})^3 $$.

The cube and the cube root cancel:
$$
(\sqrt[3]{125000})^3 = 125000.
$$

4. f) Simplify $$ (\sqrt[5]{32})^5 $$.

The fifth root and the fifth power cancel:
$$
(\sqrt[5]{32})^5 = 32.
$$
1. a) $$ 26 $$ 2. b) $$ 1200 $$ 3. e) $$ 125000 $$ 4. f) $$ 32 $$

Simplify.

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