What is sqrt(15^2+15^2) ?

The solution to sqrt(15^2+15^2) is 15sqrt(2)

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Popular >

simplify sqrt(15^2+15^2)

simplify

1 5^{2} + 1 5^{2}

152

Decimal

21.21320 \dots

Solution steps

1 5^{2} + 1 5^{2}

1 5^{2} + 1 5^{2} = 450

= 450

Prime factorization of

450 : 2 \cdot 3^{2} \cdot 5^{2}

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

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

= 2 3^{2} 5^{2}

Apply radical rule:

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

3^{2} = 3

= 2 \cdot 3 5^{2}

Apply radical rule:

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

5^{2} = 5

= 2 \cdot 3 \cdot 5

Multiply the numbers:

3 \cdot 5 = 15

= 2 \cdot 15

= 152

- \frac{1}{10} + \frac{5}{8}

\frac{x - 3}{x ^{2} - 4 x + 3}

\frac{4}{7} \cdot \frac{2}{3}

21 \cdot 7

3 2^{7}