What is sqrt(100+25)*sqrt(25) ?

The solution to sqrt(100+25)*sqrt(25) is 25sqrt(5)

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simplify sqrt(100+25)*sqrt(25)

simplify

100 + 25 \cdot 25

255

Decimal Notation

55.90169 \dots

Solution steps

100 + 25 25

25 = 5

= 100 + 25 \cdot 5

Add the numbers:

100 + 25 = 125

= 125 \cdot 5

Prime factorization of

125 : 5^{3}

= 5^{3} \cdot 5

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

5^{3} = 5^{2} \cdot 5

= 5^{2} \cdot 5 \cdot 5

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

5^{2} \cdot 5 = 5^{2} 5

= 5^{2} 5 \cdot 5

Apply radical rule:

a^{2} = a, a \geq 0

5^{2} = 5

= 55 \cdot 5

Multiply the numbers:

5 \cdot 5 = 25

= 255

\frac{a ^{2} - a x}{a ^{2} - x ^{2}}

10 \div \frac{5}{8}

(x + 5)^{0}

(2 x^{2} y^{- 2} z)^{4}

- \frac{9 π}{4} + 2 π

What is sqrt(100+25)*sqrt(25) ?
The solution to sqrt(100+25)*sqrt(25) is 25sqrt(5)